53338600 has 96 divisors (see below), whose sum is σ = 146419200. Its totient is φ = 17683200.

The previous prime is 53338591. The next prime is 53338601. The reversal of 53338600 is 683335.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (53338601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42786 + ... + 44014.

It is an arithmetic number, because the mean of its divisors is an integer number (1525200).

Almost surely, 2^53338600 is an apocalyptic number.

53338600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53338600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73209600).

53338600 is an abundant number, since it is smaller than the sum of its proper divisors (93080600).

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

53338600 is a wasteful number, since it uses less digits than its factorization.

53338600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 53338600 is about 7303.3280085178. The cubic root of 53338600 is about 376.4268014523.

The spelling of 53338600 in words is "fifty-three million, three hundred thirty-eight thousand, six hundred".