53800320 has 128 divisors (see below), whose sum is σ = 196035840. Its totient is φ = 12294144.

The previous prime is 53800319. The next prime is 53800339. The reversal of 53800320 is 2300835.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 11439 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^53800320 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 53800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98017920).

53800320 is an abundant number, since it is smaller than the sum of its proper divisors (142235520).

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

53800320 is a wasteful number, since it uses less digits than its factorization.

53800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 53800320 is about 7334.8701419998. The cubic root of 53800320 is about 377.5098487263.

The spelling of 53800320 in words is "fifty-three million, eight hundred thousand, three hundred twenty".