10807952 has 20 divisors (see below), whose sum is σ = 21663420. Its totient is φ = 5217408.

The previous prime is 10807949. The next prime is 10807957. The reversal of 10807952 is 25970801.

It can be written as a sum of positive squares in 2 ways, for example, as 2421136 + 8386816 = 1556^2 + 2896^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10807957) 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, 11183 + ... + 12110.

It is an arithmetic number, because the mean of its divisors is an integer number (1083171).

Almost surely, 2^10807952 is an apocalyptic number.

It is an amenable number.

10807952 is an abundant number, since it is smaller than the sum of its proper divisors (10855468).

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

10807952 is a wasteful number, since it uses less digits than its factorization.

10807952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23330 (or 23324 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10807952 is about 3287.5449806809. The cubic root of 10807952 is about 221.0961273839.

The spelling of 10807952 in words is "ten million, eight hundred seven thousand, nine hundred fifty-two".