646968960 has 192 divisors, whose sum is σ = 2437400160. Its totient is φ = 156825600.

The previous prime is 646968947. The next prime is 646968961. The reversal of 646968960 is 69869646.

It is a happy number.

646968960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 646968897 and 646968906.

It is not an unprimeable number, because it can be changed into a prime (646968961) 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, 58255 + ... + 68465.

Almost surely, 2^646968960 is an apocalyptic number.

646968960 is a gapful number since it is divisible by the number (60) 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 646968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218700080).

646968960 is an abundant number, since it is smaller than the sum of its proper divisors (1790431200).

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

646968960 is a wasteful number, since it uses less digits than its factorization.

646968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 646968960 is about 25435.5845224756. The cubic root of 646968960 is about 864.8905426892.

The spelling of 646968960 in words is "six hundred forty-six million, nine hundred sixty-eight thousand, nine hundred sixty".