56760660 has 144 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 13582080.

The previous prime is 56760647. The next prime is 56760661. The reversal of 56760660 is 6606765.

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 (56760661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215689 + ... + 215951.

It is an arithmetic number, because the mean of its divisors is an integer number (1321320).

Almost surely, 2^56760660 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 56760660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

56760660 is an abundant number, since it is smaller than the sum of its proper divisors (133509420).

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

56760660 is a wasteful number, since it uses less digits than its factorization.

56760660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 56760660 is about 7533.9670824872. The cubic root of 56760660 is about 384.3107023126.

The spelling of 56760660 in words is "fifty-six million, seven hundred sixty thousand, six hundred sixty".