54506064 has 40 divisors (see below), whose sum is σ = 142214112. Its totient is φ = 17987200.

The previous prime is 54506047. The next prime is 54506077. The reversal of 54506064 is 46060545.

It is a super-2 number, since 2×54506064² = 5941822025544192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774 + ... + 10469.

Almost surely, 2^54506064 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 54506064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71107056).

54506064 is an abundant number, since it is smaller than the sum of its proper divisors (87708048).

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

54506064 is a wasteful number, since it uses less digits than its factorization.

54506064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 54506064 is about 7382.8222245968. The cubic root of 54506064 is about 379.1533876013.

The spelling of 54506064 in words is "fifty-four million, five hundred six thousand, sixty-four".