53319600 has 120 divisors (see below), whose sum is σ = 189816720. Its totient is φ = 14215680.

The previous prime is 53319587. The next prime is 53319619. The reversal of 53319600 is 691335.

53319600 is a `hidden beast` number, since 53 + 3 + 1 + 9 + 600 = 666.

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 (27).

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, 8332 + ... + 13268.

It is an arithmetic number, because the mean of its divisors is an integer number (1581806).

Almost surely, 2^53319600 is an apocalyptic number.

53319600 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 53319600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94908360).

53319600 is an abundant number, since it is smaller than the sum of its proper divisors (136497120).

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

53319600 is a wasteful number, since it uses less digits than its factorization.

53319600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 53319600 is about 7302.0271158083. The cubic root of 53319600 is about 376.3820998752.

The spelling of 53319600 in words is "fifty-three million, three hundred nineteen thousand, six hundred".