54879968 has 96 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 22556160.

The previous prime is 54879967. The next prime is 54879983. The reversal of 54879968 is 86997845.

Its product of digits (4354560) is a multiple of the sum of its prime factors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54879967) 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, 306503 + ... + 306681.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^54879968 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 54879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

54879968 is an abundant number, since it is smaller than the sum of its proper divisors (74668192).

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

54879968 is a wasteful number, since it uses less digits than its factorization.

54879968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The square root of 54879968 is about 7408.1015111836. The cubic root of 54879968 is about 380.0183924616.

The spelling of 54879968 in words is "fifty-four million, eight hundred seventy-nine thousand, nine hundred sixty-eight".