57437640 has 128 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 14135040.

The previous prime is 57437617. The next prime is 57437683. The reversal of 57437640 is 4673475.

57437640 is a `hidden beast` number, since 5 + 7 + 4 + 3 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57437595 and 57437604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11995 + ... + 16085.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^57437640 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 57437640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

57437640 is an abundant number, since it is smaller than the sum of its proper divisors (148799160).

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

57437640 is a wasteful number, since it uses less digits than its factorization.

57437640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 57437640 is about 7578.7624319542. The cubic root of 57437640 is about 385.8325492735.

The spelling of 57437640 in words is "fifty-seven million, four hundred thirty-seven thousand, six hundred forty".