656761360 has 80 divisors (see below), whose sum is σ = 1585077120. Its totient is φ = 252887040.

The previous prime is 656761351. The next prime is 656761361. The reversal of 656761360 is 63167656.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (656761361) 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 15 ways as a sum of consecutive naturals, for example, 242896 + ... + 245584.

It is an arithmetic number, because the mean of its divisors is an integer number (19813464).

Almost surely, 2^656761360 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 656761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792538560).

656761360 is an abundant number, since it is smaller than the sum of its proper divisors (928315760).

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

656761360 is a wasteful number, since it uses less digits than its factorization.

656761360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 656761360 is about 25627.3556965989. The cubic root of 656761360 is about 869.2323170311.

The spelling of 656761360 in words is "six hundred fifty-six million, seven hundred sixty-one thousand, three hundred sixty".