55807920 has 160 divisors (see below), whose sum is σ = 219747840. Its totient is φ = 12752640.

The previous prime is 55807907. The next prime is 55807931. The reversal of 55807920 is 2970855.

55807920 is a `hidden beast` number, since 5 + 580 + 79 + 2 + 0 = 666.

It is a super-2 number, since 2×55807920² = 6229047869452800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 13275 + ... + 16965.

It is an arithmetic number, because the mean of its divisors is an integer number (1373424).

Almost surely, 2^55807920 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 55807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109873920).

55807920 is an abundant number, since it is smaller than the sum of its proper divisors (163939920).

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

55807920 is a wasteful number, since it uses less digits than its factorization.

55807920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 55807920 is about 7470.4698647408. The cubic root of 55807920 is about 382.1483118812.

The spelling of 55807920 in words is "fifty-five million, eight hundred seven thousand, nine hundred twenty".