57618 has 32 divisors (see below), whose sum is σ = 141120. Its totient is φ = 17280.

The previous prime is 57601. The next prime is 57637. The reversal of 57618 is 81675.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57591 and 57600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁵⁷⁶¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

57618 is an abundant number, since it is smaller than the sum of its proper divisors (83502).

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

57618 is a wasteful number, since it uses less digits than its factorization.

57618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 57618 is about 240.0374970708. The cubic root of 57618 is about 38.6235978377.

The spelling of 57618 in words is "fifty-seven thousand, six hundred eighteen".