53365920 has 96 divisors (see below), whose sum is σ = 170517312. Its totient is φ = 14026752.

The previous prime is 53365919. The next prime is 53365933. The reversal of 53365920 is 2956335.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34279 + ... + 35801.

It is an arithmetic number, because the mean of its divisors is an integer number (1776222).

Almost surely, 2^53365920 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 53365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85258656).

53365920 is an abundant number, since it is smaller than the sum of its proper divisors (117151392).

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

53365920 is a wasteful number, since it uses less digits than its factorization.

53365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 53365920 is about 7305.1981492633. The cubic root of 53365920 is about 376.4910590125.

It can be divided in two parts, 53365 and 920, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 53365920 in words is "fifty-three million, three hundred sixty-five thousand, nine hundred twenty".