54688960 has 112 divisors (see below), whose sum is σ = 138988800. Its totient is φ = 20459520.

The previous prime is 54688943. The next prime is 54688961. The reversal of 54688960 is 6988645.

It is a self number, because there is not a number n which added to its sum of digits gives 54688960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54688961) 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 15 ways as a sum of consecutive naturals, for example, 366966 + ... + 367114.

Almost surely, 2^54688960 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 54688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69494400).

54688960 is an abundant number, since it is smaller than the sum of its proper divisors (84299840).

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

54688960 is a wasteful number, since it uses less digits than its factorization.

54688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 54688960 is about 7395.1984422326. The cubic root of 54688960 is about 379.5769992981.

The spelling of 54688960 in words is "fifty-four million, six hundred eighty-eight thousand, nine hundred sixty".