56064456 has 96 divisors (see below), whose sum is σ = 174807360. Its totient is φ = 15901056.

The previous prime is 56064451. The next prime is 56064473. The reversal of 56064456 is 65446065.

It is a happy number.

56064456 is a `hidden beast` number, since 5 + 6 + 0 + 644 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56064456.

It is not an unprimeable number, because it can be changed into a prime (56064451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86871 + ... + 87513.

It is an arithmetic number, because the mean of its divisors is an integer number (1820910).

Almost surely, 2^56064456 is an apocalyptic number.

56064456 is a gapful number since it is divisible by the number (56) 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 56064456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87403680).

56064456 is an abundant number, since it is smaller than the sum of its proper divisors (118742904).

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

56064456 is a wasteful number, since it uses less digits than its factorization.

56064456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56064456 is about 7487.6201826749. The cubic root of 56064456 is about 382.7329658598.

The spelling of 56064456 in words is "fifty-six million, sixty-four thousand, four hundred fifty-six".