54686688 has 96 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 14702592.

The previous prime is 54686659. The next prime is 54686699. The reversal of 54686688 is 88668645.

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 (51).

It is a self number, because there is not a number n which added to its sum of digits gives 54686688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9031 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^54686688 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 54686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

54686688 is an abundant number, since it is smaller than the sum of its proper divisors (119060256).

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

54686688 is a wasteful number, since it uses less digits than its factorization.

54686688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4816 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 54686688 is about 7395.0448274503. The cubic root of 54686688 is about 379.5717428388.

The spelling of 54686688 in words is "fifty-four million, six hundred eighty-six thousand, six hundred eighty-eight".