57644032 has 44 divisors (see below), whose sum is σ = 118128276. Its totient is φ = 28098560.

The previous prime is 57644029. The next prime is 57644047. The reversal of 57644032 is 23044675.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 25563136 = 5664^2 + 5056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57643985 and 57644003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41298 + ... + 42670.

Almost surely, 2^57644032 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 57644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59064138).

57644032 is an abundant number, since it is smaller than the sum of its proper divisors (60484244).

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

57644032 is a wasteful number, since it uses less digits than its factorization.

57644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 57644032 is about 7592.3666929357. The cubic root of 57644032 is about 386.2941371765.

The spelling of 57644032 in words is "fifty-seven million, six hundred forty-four thousand, thirty-two".