10057632 has 48 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3094272.

The previous prime is 10057613. The next prime is 10057633. The reversal of 10057632 is 23675001.

10057632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10057632² = 202311922894848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10057633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 5277.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^10057632 is an apocalyptic number.

10057632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10057632 is an abundant number, since it is smaller than the sum of its proper divisors (18378048).

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

10057632 is a wasteful number, since it uses less digits than its factorization.

10057632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10057632 is about 3171.3769879975. The cubic root of 10057632 is about 215.8565577125.

The spelling of 10057632 in words is "ten million, fifty-seven thousand, six hundred thirty-two".