55805904 has 180 divisors, whose sum is σ = 198469440. Its totient is φ = 14474880.

The previous prime is 55805903. The next prime is 55805941. The reversal of 55805904 is 40950855.

It is a happy number.

55805904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55805904² = 6228597842514432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55805903) 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 35 ways as a sum of consecutive naturals, for example, 77257 + ... + 77975.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 2^55805904 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 55805904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

55805904 is an abundant number, since it is smaller than the sum of its proper divisors (142663536).

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

55805904 is a wasteful number, since it uses less digits than its factorization.

55805904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55805904 is about 7470.3349322504. The cubic root of 55805904 is about 382.1437102627.

The spelling of 55805904 in words is "fifty-five million, eight hundred five thousand, nine hundred four".