57684640 has 48 divisors (see below), whose sum is σ = 146768328. Its totient is φ = 21298176.

The previous prime is 57684637. The next prime is 57684647. The reversal of 57684640 is 4648675.

It can be written as a sum of positive squares in 4 ways, for example, as 27081616 + 30603024 = 5204^2 + 5532^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 57684593 and 57684602.

It is not an unprimeable number, because it can be changed into a prime (57684647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11787 + ... + 15946.

Almost surely, 2^57684640 is an apocalyptic number.

It is an amenable number.

57684640 is an abundant number, since it is smaller than the sum of its proper divisors (89083688).

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

57684640 is a wasteful number, since it uses less digits than its factorization.

57684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27761 (or 27753 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 57684640 is about 7595.0404870547. The cubic root of 57684640 is about 386.3848256639.

The spelling of 57684640 in words is "fifty-seven million, six hundred eighty-four thousand, six hundred forty".