57620 has 24 divisors (see below), whose sum is σ = 125664. Its totient is φ = 22176.

The previous prime is 57601. The next prime is 57637. The reversal of 57620 is 2675.

57620 = T₁₁₆ + T₁₁₇ + ... + T₁₂₃.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 57592 and 57601.

It is a congruent number.

It is an unprimeable number.

57620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (5236).

2⁵⁷⁶²⁰ 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 57620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62832).

57620 is an abundant number, since it is smaller than the sum of its proper divisors (68044).

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

57620 is a wasteful number, since it uses less digits than its factorization.

57620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 57620 is about 240.0416630504. The cubic root of 57620 is about 38.6240447252.

Subtracting from 57620 its sum of digits (20), we obtain a square (57600 = 240²).

Subtracting from 57620 its reverse (2675), we obtain a palindrome (54945).

The spelling of 57620 in words is "fifty-seven thousand, six hundred twenty".