55905408 has 96 divisors (see below), whose sum is σ = 173294940. Its totient is φ = 17197056.

The previous prime is 55905389. The next prime is 55905457. The reversal of 55905408 is 80450955.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54287424 + 1617984 = 7368^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13110 + ... + 16842.

Almost surely, 2^55905408 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 55905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86647470).

55905408 is an abundant number, since it is smaller than the sum of its proper divisors (117389532).

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

55905408 is a wasteful number, since it uses less digits than its factorization.

55905408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3751 counting only the distinct ones).

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

The square root of 55905408 is about 7476.9919085151. The cubic root of 55905408 is about 382.3707008825.

The spelling of 55905408 in words is "fifty-five million, nine hundred five thousand, four hundred eight".