54808768 has 112 divisors (see below), whose sum is σ = 134599680. Its totient is φ = 21620736.

The previous prime is 54808763. The next prime is 54808771. The reversal of 54808768 is 86780845.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (54808763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399996 + ... + 400132.

Almost surely, 2^54808768 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 54808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67299840).

54808768 is an abundant number, since it is smaller than the sum of its proper divisors (79790912).

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

54808768 is a wasteful number, since it uses less digits than its factorization.

54808768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 54808768 is about 7403.2944018187. The cubic root of 54808768 is about 379.8539789840.

The spelling of 54808768 in words is "fifty-four million, eight hundred eight thousand, seven hundred sixty-eight".