57049632 has 72 divisors (see below), whose sum is σ = 163763964. Its totient is φ = 18837504.

The previous prime is 57049621. The next prime is 57049639. The reversal of 57049632 is 23694075.

It can be written as a sum of positive squares in 2 ways, for example, as 37015056 + 20034576 = 6084^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×57049632² = 6509321022670848, which contains 22 as substring.

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 (57049639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31668 + ... + 33420.

Almost surely, 2^57049632 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 57049632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81881982).

57049632 is an abundant number, since it is smaller than the sum of its proper divisors (106714332).

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

57049632 is a wasteful number, since it uses less digits than its factorization.

57049632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57049632 is about 7553.1206795602. The cubic root of 57049632 is about 384.9617817800.

The spelling of 57049632 in words is "fifty-seven million, forty-nine thousand, six hundred thirty-two".