54631680 has 144 divisors (see below), whose sum is σ = 179250624. Its totient is φ = 14172160.

The previous prime is 54631673. The next prime is 54631723. The reversal of 54631680 is 8613645.

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, 157267 + ... + 157613.

It is an arithmetic number, because the mean of its divisors is an integer number (1244796).

Almost surely, 2^54631680 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 54631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89625312).

54631680 is an abundant number, since it is smaller than the sum of its proper divisors (124618944).

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

54631680 is a wasteful number, since it uses less digits than its factorization.

54631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54631680 is about 7391.3246444734. The cubic root of 54631680 is about 379.4444328369. Note that the first 4 decimals are identical.

The spelling of 54631680 in words is "fifty-four million, six hundred thirty-one thousand, six hundred eighty".