54657600 has 168 divisors, whose sum is σ = 183306720. Its totient is φ = 14254080.

The previous prime is 54657599. The next prime is 54657607. The reversal of 54657600 is 675645.

It is not an unprimeable number, because it can be changed into a prime (54657607) 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, 283104 + ... + 283296.

Almost surely, 2^54657600 is an apocalyptic number.

54657600 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 54657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91653360).

54657600 is an abundant number, since it is smaller than the sum of its proper divisors (128649120).

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

54657600 is a wasteful number, since it uses less digits than its factorization.

54657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 54657600 is about 7393.0778434966. The cubic root of 54657600 is about 379.5044324846.

The spelling of 54657600 in words is "fifty-four million, six hundred fifty-seven thousand, six hundred".