53620 has 24 divisors (see below), whose sum is σ = 129024. Its totient is φ = 18336.

The previous prime is 53617. The next prime is 53623. The reversal of 53620 is 2635.

53620 = T₆₃ + T₆₄ + ... + T₈₂.

53620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53617) and next prime (53623).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 53594 and 53603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53623) 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, 52 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁵³⁶²⁰ is an apocalyptic number.

It is an amenable number.

53620 is an abundant number, since it is smaller than the sum of its proper divisors (75404).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

53620 is a wasteful number, since it uses less digits than its factorization.

53620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 53620 is about 231.5599274486. The cubic root of 53620 is about 37.7087615985.

The spelling of 53620 in words is "fifty-three thousand, six hundred twenty".