57670632 has 48 divisors (see below), whose sum is σ = 158184000. Its totient is φ = 18978336.

The previous prime is 57670631. The next prime is 57670661. The reversal of 57670632 is 23607675.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (57670631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619 + ... + 10757.

It is an arithmetic number, because the mean of its divisors is an integer number (3295500).

Almost surely, 2^57670632 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 57670632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79092000).

57670632 is an abundant number, since it is smaller than the sum of its proper divisors (100513368).

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

57670632 is a wasteful number, since it uses less digits than its factorization.

57670632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 57670632 is about 7594.1182503303. The cubic root of 57670632 is about 386.3535468763.

The spelling of 57670632 in words is "fifty-seven million, six hundred seventy thousand, six hundred thirty-two".