54315600 has 60 divisors (see below), whose sum is σ = 173994816. Its totient is φ = 14483840.

The previous prime is 54315587. The next prime is 54315607. The reversal of 54315600 is 651345.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54315607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21432 + ... + 23831.

Almost surely, 2^54315600 is an apocalyptic number.

54315600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54315600 is an abundant number, since it is smaller than the sum of its proper divisors (119679216).

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

54315600 is a wasteful number, since it uses less digits than its factorization.

54315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45284 (or 45273 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 54315600 is about 7369.9118040856. The cubic root of 54315600 is about 378.7112389398.

Adding to 54315600 its reverse (651345), we get a palindrome (54966945).

The spelling of 54315600 in words is "fifty-four million, three hundred fifteen thousand, six hundred".