56582790 has 64 divisors (see below), whose sum is σ = 148919040. Its totient is φ = 13645440.

The previous prime is 56582789. The next prime is 56582791. The reversal of 56582790 is 9728565.

It is an interprime number because it is at equal distance from previous prime (56582789) and next prime (56582791).

It is a super-2 number, since 2×56582790² = 6403224248368200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56582791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91101 + ... + 91719.

It is an arithmetic number, because the mean of its divisors is an integer number (2326860).

Almost surely, 2^56582790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56582790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74459520).

56582790 is an abundant number, since it is smaller than the sum of its proper divisors (92336250).

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

56582790 is a wasteful number, since it uses less digits than its factorization.

56582790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 56582790 is about 7522.1532821394. The cubic root of 56582790 is about 383.9088460936.

It can be divided in two parts, 5658 and 2790, that added together give a palindrome (8448).

The spelling of 56582790 in words is "fifty-six million, five hundred eighty-two thousand, seven hundred ninety".