10751616 has 160 divisors (see below), whose sum is σ = 34434180. Its totient is φ = 3317760.

The previous prime is 10751597. The next prime is 10751617. The reversal of 10751616 is 61615701.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 254016 = 3240^2 + 504^2 .

It is a super-2 number, since 2×10751616² = 231194493222912, 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 10751616.

It is not an unprimeable number, because it can be changed into a prime (10751617) 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 19 ways as a sum of consecutive naturals, for example, 176226 + ... + 176286.

Almost surely, 2^10751616 is an apocalyptic number.

10751616 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 10751616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217090).

10751616 is an abundant number, since it is smaller than the sum of its proper divisors (23682564).

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

10751616 is an equidigital number, since it uses as much as digits as its factorization.

10751616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10751616 is about 3278.9656905799. The cubic root of 10751616 is about 220.7113065324.

The spelling of 10751616 in words is "ten million, seven hundred fifty-one thousand, six hundred sixteen".