10557712 has 40 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 4759680.

The previous prime is 10557709. The next prime is 10557721. The reversal of 10557712 is 21775501.

It is a super-2 number, since 2×10557712² = 222930565349888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39114 + ... + 39382.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^10557712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10557712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

10557712 is an abundant number, since it is smaller than the sum of its proper divisors (11940848).

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

10557712 is a wasteful number, since it uses less digits than its factorization.

10557712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 10557712 is about 3249.2633011192. The cubic root of 10557712 is about 219.3764159561.

The spelling of 10557712 in words is "ten million, five hundred fifty-seven thousand, seven hundred twelve".