57664360 has 64 divisors (see below), whose sum is σ = 140752080. Its totient is φ = 21135360.

The previous prime is 57664351. The next prime is 57664361. The reversal of 57664360 is 6346675.

It can be written as a sum of positive squares in 8 ways, for example, as 40475044 + 17189316 = 6362^2 + 4146^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57664361) 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, 89640 + ... + 90280.

Almost surely, 2^57664360 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 57664360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70376040).

57664360 is an abundant number, since it is smaller than the sum of its proper divisors (83087720).

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

57664360 is a wasteful number, since it uses less digits than its factorization.

57664360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 57664360 is about 7593.7052879342. The cubic root of 57664360 is about 386.3395403406.

The spelling of 57664360 in words is "fifty-seven million, six hundred sixty-four thousand, three hundred sixty".