10557768 has 96 divisors (see below), whose sum is σ = 30304800. Its totient is φ = 3055104.

The previous prime is 10557737. The next prime is 10557773. The reversal of 10557768 is 86775501.

It is a super-2 number, since 2×10557768² = 222932930283648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76996 + ... + 77132.

It is an arithmetic number, because the mean of its divisors is an integer number (315675).

Almost surely, 2^10557768 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 10557768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152400).

10557768 is an abundant number, since it is smaller than the sum of its proper divisors (19747032).

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

10557768 is a wasteful number, since it uses less digits than its factorization.

10557768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 10557768 is about 3249.2719184457. The cubic root of 10557768 is about 219.3768038260.

It can be divided in two parts, 10557 and 768, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 10557768 in words is "ten million, five hundred fifty-seven thousand, seven hundred sixty-eight".