57649280 has 128 divisors (see below), whose sum is σ = 152938800. Its totient is φ = 20766720.

The previous prime is 57649271. The next prime is 57649289. The reversal of 57649280 is 8294675.

It is an interprime number because it is at equal distance from previous prime (57649271) and next prime (57649289).

It can be written as a sum of positive squares in 8 ways, for example, as 15555136 + 42094144 = 3944^2 + 6488^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (57649289) 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, 1406060 + ... + 1406100.

Almost surely, 2^57649280 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 57649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76469400).

57649280 is an abundant number, since it is smaller than the sum of its proper divisors (95289520).

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

57649280 is an equidigital number, since it uses as much as digits as its factorization.

57649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 57649280 is about 7592.7122953527. The cubic root of 57649280 is about 386.3058597552.

The spelling of 57649280 in words is "fifty-seven million, six hundred forty-nine thousand, two hundred eighty".