54797600 has 144 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 18355200.

The previous prime is 54797599. The next prime is 54797623. The reversal of 54797600 is 679745.

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, 114161 + ... + 114639.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^54797600 is an apocalyptic number.

54797600 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 54797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

54797600 is an abundant number, since it is smaller than the sum of its proper divisors (102692320).

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

54797600 is a wasteful number, since it uses less digits than its factorization.

54797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 54797600 is about 7402.5401045857. The cubic root of 54797600 is about 379.8281771670.

The spelling of 54797600 in words is "fifty-four million, seven hundred ninety-seven thousand, six hundred".