56631432 has 128 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 15267840.

The previous prime is 56631427. The next prime is 56631433. The reversal of 56631432 is 23413665.

56631432 = T₃₅₄₃ + T₃₅₄₄ + ... + T₃₅₅₁.

It is a self number, because there is not a number n which added to its sum of digits gives 56631432.

It is not an unprimeable number, because it can be changed into a prime (56631433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99244 + ... + 99812.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 2^56631432 is an apocalyptic number.

56631432 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 56631432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

56631432 is an abundant number, since it is smaller than the sum of its proper divisors (115736568).

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

56631432 is a wasteful number, since it uses less digits than its factorization.

56631432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 56631432 is about 7525.3858372844. The cubic root of 56631432 is about 384.0188250320.

The spelling of 56631432 in words is "fifty-six million, six hundred thirty-one thousand, four hundred thirty-two".