55365408 has 144 divisors (see below), whose sum is σ = 186338880. Its totient is φ = 15257088.

The previous prime is 55365397. The next prime is 55365421. The reversal of 55365408 is 80456355.

55365408 is a `hidden beast` number, since 553 + 65 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57991 + ... + 58937.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 2^55365408 is an apocalyptic number.

55365408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55365408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93169440).

55365408 is an abundant number, since it is smaller than the sum of its proper divisors (130973472).

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

55365408 is a wasteful number, since it uses less digits than its factorization.

55365408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 55365408 is about 7440.7935060718. The cubic root of 55365408 is about 381.1355873471.

The spelling of 55365408 in words is "fifty-five million, three hundred sixty-five thousand, four hundred eight".