54726800 has 120 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 20608000.

The previous prime is 54726787. The next prime is 54726851. The reversal of 54726800 is 862745.

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, 770765 + ... + 770835.

Almost surely, 2^54726800 is an apocalyptic number.

54726800 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 54726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

54726800 is an abundant number, since it is smaller than the sum of its proper divisors (84764272).

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

54726800 is a wasteful number, since it uses less digits than its factorization.

54726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 54726800 is about 7397.7564166442. The cubic root of 54726800 is about 379.6645238627.

The spelling of 54726800 in words is "fifty-four million, seven hundred twenty-six thousand, eight hundred".