56088090 has 48 divisors (see below), whose sum is σ = 147844008. Its totient is φ = 14750208.

The previous prime is 56088077. The next prime is 56088091. The reversal of 56088090 is 9088065.

56088090 is a `hidden beast` number, since 560 + 8 + 8 + 0 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53626329 + 2461761 = 7323^2 + 1569^2 .

It is not an unprimeable number, because it can be changed into a prime (56088091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302 + ... + 10838.

Almost surely, 2^56088090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56088090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73922004).

56088090 is an abundant number, since it is smaller than the sum of its proper divisors (91755918).

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

56088090 is a wasteful number, since it uses less digits than its factorization.

56088090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 56088090 is about 7489.1982214387. The cubic root of 56088090 is about 382.7867387301.

The spelling of 56088090 in words is "fifty-six million, eighty-eight thousand, ninety".