56064780 has 72 divisors (see below), whose sum is σ = 170758224. Its totient is φ = 14889600.

The previous prime is 56064779. The next prime is 56064781. The reversal of 56064780 is 8746065.

It is a happy number.

56064780 is a `hidden beast` number, since 5 + 6 + 0 + 647 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56064779) and next prime (56064781).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56064781) 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, 59110 + ... + 60050.

It is an arithmetic number, because the mean of its divisors is an integer number (2371642).

Almost surely, 2^56064780 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 56064780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85379112).

56064780 is an abundant number, since it is smaller than the sum of its proper divisors (114693444).

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

56064780 is a wasteful number, since it uses less digits than its factorization.

56064780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56064780 is about 7487.6418183564. The cubic root of 56064780 is about 382.7337031377.

The spelling of 56064780 in words is "fifty-six million, sixty-four thousand, seven hundred eighty".