54688896 has 96 divisors (see below), whose sum is σ = 162899100. Its totient is φ = 17590272.

The previous prime is 54688883. The next prime is 54688919. The reversal of 54688896 is 69888645.

It is a happy number.

54688896 is a `hidden beast` number, since 546 + 8 + 8 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50126400 + 4562496 = 7080^2 + 2136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32590 + ... + 34226.

Almost surely, 2^54688896 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 54688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81449550).

54688896 is an abundant number, since it is smaller than the sum of its proper divisors (108210204).

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

54688896 is a wasteful number, since it uses less digits than its factorization.

54688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1671 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 54688896 is about 7395.1941150993. The cubic root of 54688896 is about 379.5768512308.

The spelling of 54688896 in words is "fifty-four million, six hundred eighty-eight thousand, eight hundred ninety-six".