54879672 has 64 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 16657920.

The previous prime is 54879659. The next prime is 54879677. The reversal of 54879672 is 27697845.

54879672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54879677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10479 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^54879672 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 54879672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

54879672 is an abundant number, since it is smaller than the sum of its proper divisors (95110728).

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

54879672 is a wasteful number, since it uses less digits than its factorization.

54879672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4392 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 54879672 is about 7408.0815330286. The cubic root of 54879672 is about 380.0177092393.

The spelling of 54879672 in words is "fifty-four million, eight hundred seventy-nine thousand, six hundred seventy-two".