54976688 has 40 divisors (see below), whose sum is σ = 116898768. Its totient is φ = 24890112.

The previous prime is 54976687. The next prime is 54976729. The reversal of 54976688 is 88667945.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (54976681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8531 + ... + 13517.

Almost surely, 2^54976688 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 54976688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58449384).

54976688 is an abundant number, since it is smaller than the sum of its proper divisors (61922080).

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

54976688 is a wasteful number, since it uses less digits than its factorization.

54976688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5055 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The square root of 54976688 is about 7414.6266257985. The cubic root of 54976688 is about 380.2415085269.

The spelling of 54976688 in words is "fifty-four million, nine hundred seventy-six thousand, six hundred eighty-eight".