54638880 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 14395392.

The previous prime is 54638873. The next prime is 54638887. The reversal of 54638880 is 8883645.

It is an interprime number because it is at equal distance from previous prime (54638873) and next prime (54638887).

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

It is not an unprimeable number, because it can be changed into a prime (54638887) 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, 42081 + ... + 43359.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^54638880 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 54638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

54638880 is an abundant number, since it is smaller than the sum of its proper divisors (119543520).

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

54638880 is a wasteful number, since it uses less digits than its factorization.

54638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 54638880 is about 7391.8116859130. The cubic root of 54638880 is about 379.4611013090.

The spelling of 54638880 in words is "fifty-four million, six hundred thirty-eight thousand, eight hundred eighty".