57640 has 32 divisors (see below), whose sum is σ = 142560. Its totient is φ = 20800.

The previous prime is 57637. The next prime is 57641. The reversal of 57640 is 4675.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (57641) 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, 375 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2⁵⁷⁶⁴⁰ 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 57640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280).

57640 is an abundant number, since it is smaller than the sum of its proper divisors (84920).

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

57640 is a wasteful number, since it uses less digits than its factorization.

57640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 57640 is about 240.0833188708. The cubic root of 57640 is about 38.6285130322.

It can be divided in two parts, 576 and 40, that added together give a palindrome (616).

The spelling of 57640 in words is "fifty-seven thousand, six hundred forty".