10535616 has 224 divisors, whose sum is σ = 38689280. Its totient is φ = 2737152.

The previous prime is 10535611. The next prime is 10535621. The reversal of 10535616 is 61653501.

It is a happy number.

10535616 is a `hidden beast` number, since 10 + 5 + 35 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (10535611) and next prime (10535621).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10535616² = 221998408998912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10535616.

It is not an unprimeable number, because it can be changed into a prime (10535611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157215 + ... + 157281.

It is an arithmetic number, because the mean of its divisors is an integer number (172720).

Almost surely, 2^10535616 is an apocalyptic number.

10535616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344640).

10535616 is an abundant number, since it is smaller than the sum of its proper divisors (28153664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10535616 is a wasteful number, since it uses less digits than its factorization.

10535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10535616 is about 3245.8613648768. The cubic root of 10535616 is about 219.2232663957.

It can be divided in two parts, 105 and 35616, that added together give a square (35721 = 189²).

The spelling of 10535616 in words is "ten million, five hundred thirty-five thousand, six hundred sixteen".