54785664 has 96 divisors (see below), whose sum is σ = 166015200. Its totient is φ = 17293824.

The previous prime is 54785581. The next prime is 54785681. The reversal of 54785664 is 46658745.

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, 20637 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (1729325).

Almost surely, 2^54785664 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 54785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83007600).

54785664 is an abundant number, since it is smaller than the sum of its proper divisors (111229536).

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

54785664 is a wasteful number, since it uses less digits than its factorization.

54785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2527 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 54785664 is about 7401.7338509298. The cubic root of 54785664 is about 379.8005971372.

The spelling of 54785664 in words is "fifty-four million, seven hundred eighty-five thousand, six hundred sixty-four".