10616040 has 96 divisors (see below), whose sum is σ = 35479080. Its totient is φ = 2750976.

The previous prime is 10616033. The next prime is 10616051. The reversal of 10616040 is 4061601.

10616040 is a `hidden beast` number, since 1 + 0 + 61 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9998244 + 617796 = 3162^2 + 786^2 .

It is a super-2 number, since 2×10616040² = 225400610563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12922 + ... + 13718.

Almost surely, 2^10616040 is an apocalyptic number.

10616040 is a gapful number since it is divisible by the number (10) 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 10616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739540).

10616040 is an abundant number, since it is smaller than the sum of its proper divisors (24863040).

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

10616040 is a wasteful number, since it uses less digits than its factorization.

10616040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10616040 is about 3258.2265114629. The cubic root of 10616040 is about 219.7796692188.

Adding to 10616040 its reverse (4061601), we get a palindrome (14677641).

The spelling of 10616040 in words is "ten million, six hundred sixteen thousand, forty".