56586390 has 64 divisors (see below), whose sum is σ = 155810304. Its totient is φ = 12883968.

The previous prime is 56586379. The next prime is 56586401. The reversal of 56586390 is 9368565.

It is an interprime number because it is at equal distance from previous prime (56586379) and next prime (56586401).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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, 97782 + ... + 98358.

It is an arithmetic number, because the mean of its divisors is an integer number (2434536).

Almost surely, 2^56586390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56586390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77905152).

56586390 is an abundant number, since it is smaller than the sum of its proper divisors (99223914).

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

56586390 is a wasteful number, since it uses less digits than its factorization.

56586390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 56586390 is about 7522.3925715161. The cubic root of 56586390 is about 383.9169878068.

The spelling of 56586390 in words is "fifty-six million, five hundred eighty-six thousand, three hundred ninety".