57629880 has 432 divisors, whose sum is σ = 248353560. Its totient is φ = 11975040.

The previous prime is 57629867. The next prime is 57629939. The reversal of 57629880 is 8892675.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5239075 + ... + 5239085.

Almost surely, 2^57629880 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 57629880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124176780).

57629880 is an abundant number, since it is smaller than the sum of its proper divisors (190723680).

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

57629880 is a wasteful number, since it uses less digits than its factorization.

57629880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 57629880 is about 7591.4346470216. The cubic root of 57629880 is about 386.2625219807.

The spelling of 57629880 in words is "fifty-seven million, six hundred twenty-nine thousand, eight hundred eighty".