56642124 has 96 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 14448960.

The previous prime is 56642093. The next prime is 56642141. The reversal of 56642124 is 42124665.

It is a super-2 number, since 2×56642124² = 6416660422462752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56642091 and 56642100.

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, 53997 + ... + 55035.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^56642124 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 56642124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

56642124 is an abundant number, since it is smaller than the sum of its proper divisors (111089076).

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

56642124 is a wasteful number, since it uses less digits than its factorization.

56642124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 56642124 is about 7526.0961992257. The cubic root of 56642124 is about 384.0429910635.

Adding to 56642124 its reverse (42124665), we get a palindrome (98766789).

The spelling of 56642124 in words is "fifty-six million, six hundred forty-two thousand, one hundred twenty-four".