55904688 has 240 divisors, whose sum is σ = 197904000. Its totient is φ = 15023232.

The previous prime is 55904677. The next prime is 55904701. The reversal of 55904688 is 88640955.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402123 + ... + 402261.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^55904688 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 55904688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952000).

55904688 is an abundant number, since it is smaller than the sum of its proper divisors (141999312).

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

55904688 is a wasteful number, since it uses less digits than its factorization.

55904688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55904688 is about 7476.9437606552. The cubic root of 55904688 is about 382.3690593711.

The spelling of 55904688 in words is "fifty-five million, nine hundred four thousand, six hundred eighty-eight".