54738720 has 96 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 14595840.

The previous prime is 54738713. The next prime is 54738721. The reversal of 54738720 is 2783745.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54738721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2016 + ... + 10655.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^54738720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

54738720 is an abundant number, since it is smaller than the sum of its proper divisors (136861920).

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

54738720 is a wasteful number, since it uses less digits than its factorization.

54738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12695 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 54738720 is about 7398.5620224473. The cubic root of 54738720 is about 379.6920866692.

The spelling of 54738720 in words is "fifty-four million, seven hundred thirty-eight thousand, seven hundred twenty".