57630720 has 224 divisors, whose sum is σ = 213896448. Its totient is φ = 12976128.

The previous prime is 57630691. The next prime is 57630721. The reversal of 57630720 is 2703675.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57630721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860127 + ... + 860193.

Almost surely, 2^57630720 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 57630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106948224).

57630720 is an abundant number, since it is smaller than the sum of its proper divisors (156265728).

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

57630720 is an equidigital number, since it uses as much as digits as its factorization.

57630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 57630720 is about 7591.4899723309. The cubic root of 57630720 is about 386.2643986631.

The spelling of 57630720 in words is "fifty-seven million, six hundred thirty thousand, seven hundred twenty".