56311632 has 160 divisors (see below), whose sum is σ = 179432960. Its totient is φ = 16796160.

The previous prime is 56311631. The next prime is 56311637. The reversal of 56311632 is 23611365.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56311596 and 56311605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56311631) 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, 207657 + ... + 207927.

It is an arithmetic number, because the mean of its divisors is an integer number (1121456).

Almost surely, 2^56311632 is an apocalyptic number.

56311632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56311632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89716480).

56311632 is an abundant number, since it is smaller than the sum of its proper divisors (123121328).

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

56311632 is a wasteful number, since it uses less digits than its factorization.

56311632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 56311632 is about 7504.1076751337. The cubic root of 56311632 is about 383.2946034385.

Adding to 56311632 its reverse (23611365), we get a palindrome (79922997).

The spelling of 56311632 in words is "fifty-six million, three hundred eleven thousand, six hundred thirty-two".