57367440 has 240 divisors, whose sum is σ = 216111168. Its totient is φ = 14059008.

The previous prime is 57367421. The next prime is 57367447. The reversal of 57367440 is 4476375.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 57367395 and 57367404.

It is not an unprimeable number, because it can be changed into a prime (57367447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252607 + ... + 252833.

Almost surely, 2^57367440 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 57367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

57367440 is an abundant number, since it is smaller than the sum of its proper divisors (158743728).

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

57367440 is a wasteful number, since it uses less digits than its factorization.

57367440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

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

The square root of 57367440 is about 7574.1296529700. The cubic root of 57367440 is about 385.6752976465.

The spelling of 57367440 in words is "fifty-seven million, three hundred sixty-seven thousand, four hundred forty".