55578304 has 56 divisors (see below), whose sum is σ = 121907808. Its totient is φ = 25006080.

The previous prime is 55578301. The next prime is 55578307. The reversal of 55578304 is 40387555.

It is an interprime number because it is at equal distance from previous prime (55578301) and next prime (55578307).

It is not an unprimeable number, because it can be changed into a prime (55578301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23914 + ... + 26134.

Almost surely, 2^55578304 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 55578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60953904).

55578304 is an abundant number, since it is smaller than the sum of its proper divisors (66329504).

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

55578304 is a wasteful number, since it uses less digits than its factorization.

55578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 55578304 is about 7455.0857808613. The cubic root of 55578304 is about 381.6234880142.

It can be divided in two parts, 5557 and 8304, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 55578304 in words is "fifty-five million, five hundred seventy-eight thousand, three hundred four".