56064980 has 48 divisors (see below), whose sum is σ = 125329680. Its totient is φ = 20994048.

The previous prime is 56064979. The next prime is 56064989. The reversal of 56064980 is 8946065.

It can be written as a sum of positive squares in 8 ways, for example, as 15335056 + 40729924 = 3916^2 + 6382^2 .

It is a super-3 number, since 3×56064980³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56064989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91154 + ... + 91766.

It is an arithmetic number, because the mean of its divisors is an integer number (2611035).

Almost surely, 2^56064980 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 56064980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62664840).

56064980 is an abundant number, since it is smaller than the sum of its proper divisors (69264700).

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

56064980 is a wasteful number, since it uses less digits than its factorization.

56064980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 56064980 is about 7487.6551736842. The cubic root of 56064980 is about 382.7341582460.

The spelling of 56064980 in words is "fifty-six million, sixty-four thousand, nine hundred eighty".