55986320 has 120 divisors (see below), whose sum is σ = 145818792. Its totient is φ = 19968000.

The previous prime is 55986319. The next prime is 55986379. The reversal of 55986320 is 2368955.

It can be written as a sum of positive squares in 12 ways, for example, as 31225744 + 24760576 = 5588^2 + 4976^2 .

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, 554270 + ... + 554370.

Almost surely, 2^55986320 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 55986320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72909396).

55986320 is an abundant number, since it is smaller than the sum of its proper divisors (89832472).

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

55986320 is a wasteful number, since it uses less digits than its factorization.

55986320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 55986320 is about 7482.4006842724. The cubic root of 55986320 is about 382.5550805667. Note that the first 3 decimals are identical.

The spelling of 55986320 in words is "fifty-five million, nine hundred eighty-six thousand, three hundred twenty".