54008064 has 108 divisors (see below), whose sum is σ = 169954512. Its totient is φ = 16358400.

The previous prime is 54008039. The next prime is 54008077. The reversal of 54008064 is 46080045.

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, 24279 + ... + 26409.

Almost surely, 2^54008064 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 54008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84977256).

54008064 is an abundant number, since it is smaller than the sum of its proper divisors (115946448).

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

54008064 is a wasteful number, since it uses less digits than its factorization.

54008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54008064 is about 7349.0178935692. The cubic root of 54008064 is about 377.9951288530.

The spelling of 54008064 in words is "fifty-four million, eight thousand, sixty-four".