56689824 has 96 divisors (see below), whose sum is σ = 157538304. Its totient is φ = 17821440.

The previous prime is 56689823. The next prime is 56689873. The reversal of 56689824 is 42898665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56689824² = 6427472290301952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56689823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127747 + ... + 128189.

It is an arithmetic number, because the mean of its divisors is an integer number (1641024).

Almost surely, 2^56689824 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 56689824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78769152).

56689824 is an abundant number, since it is smaller than the sum of its proper divisors (100848480).

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

56689824 is a wasteful number, since it uses less digits than its factorization.

56689824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 56689824 is about 7529.2645059129. The cubic root of 56689824 is about 384.1507654517.

The spelling of 56689824 in words is "fifty-six million, six hundred eighty-nine thousand, eight hundred twenty-four".