55504064 has 84 divisors (see below), whose sum is σ = 139857480. Its totient is φ = 21611520.

The previous prime is 55504061. The next prime is 55504067. The reversal of 55504064 is 46040555.

55504064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55504061) and next prime (55504067).

It is a super-2 number, since 2×55504064² = 6161402241032192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55504061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33692 + ... + 35300.

It is an arithmetic number, because the mean of its divisors is an integer number (1664970).

Almost surely, 2^55504064 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 55504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69928740).

55504064 is an abundant number, since it is smaller than the sum of its proper divisors (84353416).

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

55504064 is a wasteful number, since it uses less digits than its factorization.

55504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 55504064 is about 7450.1049657035. The cubic root of 55504064 is about 381.4534915108.

The spelling of 55504064 in words is "fifty-five million, five hundred four thousand, sixty-four".