10557952 has 40 divisors (see below), whose sum is σ = 22354596. Its totient is φ = 4964352.

The previous prime is 10557947. The next prime is 10557959. The reversal of 10557952 is 25975501.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 215296 = 3216^2 + 464^2 .

It is a super-2 number, since 2×10557952² = 222940700868608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10557959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8098 + ... + 9310.

Almost surely, 2^10557952 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 10557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11177298).

10557952 is an abundant number, since it is smaller than the sum of its proper divisors (11796644).

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

10557952 is an equidigital number, since it uses as much as digits as its factorization.

10557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 10557952 is about 3249.3002323577. The cubic root of 10557952 is about 219.3780782462.

The spelling of 10557952 in words is "ten million, five hundred fifty-seven thousand, nine hundred fifty-two".