55618920 has 192 divisors, whose sum is σ = 215870400. Its totient is φ = 12700800.

The previous prime is 55618891. The next prime is 55618931. The reversal of 55618920 is 2981655.

It is a happy number.

55618920 is a `hidden beast` number, since 5 + 561 + 8 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52395 + ... + 53445.

It is an arithmetic number, because the mean of its divisors is an integer number (1124325).

Almost surely, 2^55618920 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 55618920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107935200).

55618920 is an abundant number, since it is smaller than the sum of its proper divisors (160251480).

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

55618920 is a wasteful number, since it uses less digits than its factorization.

55618920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 55618920 is about 7457.8093298233. The cubic root of 55618920 is about 381.7164274304.

The spelling of 55618920 in words is "fifty-five million, six hundred eighteen thousand, nine hundred twenty".