10557936 has 60 divisors (see below), whose sum is σ = 29799432. Its totient is φ = 3489408.

The previous prime is 10557931. The next prime is 10557947. The reversal of 10557936 is 63975501.

It is a happy number.

10557936 is a `hidden beast` number, since 10 + 557 + 93 + 6 = 666.

It is a super-2 number, since 2×10557936² = 222940025160192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10557936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22375 + ... + 22841.

Almost surely, 2^10557936 is an apocalyptic number.

10557936 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 10557936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14899716).

10557936 is an abundant number, since it is smaller than the sum of its proper divisors (19241496).

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

10557936 is a wasteful number, since it uses less digits than its factorization.

10557936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 10557936 is about 3249.2977702882. The cubic root of 10557936 is about 219.3779674277.

The spelling of 10557936 in words is "ten million, five hundred fifty-seven thousand, nine hundred thirty-six".