53359920 has 120 divisors (see below), whose sum is σ = 184135536. Its totient is φ = 13837824.

The previous prime is 53359879. The next prime is 53359949. The reversal of 53359920 is 2995335.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25639 + ... + 27641.

Almost surely, 2^53359920 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 53359920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92067768).

53359920 is an abundant number, since it is smaller than the sum of its proper divisors (130775616).

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

53359920 is a wasteful number, since it uses less digits than its factorization.

53359920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 53359920 is about 7304.7874712410. The cubic root of 53359920 is about 376.4769486900.

The spelling of 53359920 in words is "fifty-three million, three hundred fifty-nine thousand, nine hundred twenty".