968757000 has 64 divisors (see below), whose sum is σ = 3022531200. Its totient is φ = 258334400.

The previous prime is 968756981. The next prime is 968757059. The reversal of 968757000 is 757869.

968757000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158460 + ... + 164459.

It is an arithmetic number, because the mean of its divisors is an integer number (47227050).

Almost surely, 2^968757000 is an apocalyptic number.

It is an amenable number.

968757000 is an abundant number, since it is smaller than the sum of its proper divisors (2053774200).

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

968757000 is a wasteful number, since it uses less digits than its factorization.

968757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322943 (or 322929 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 968757000 is about 31124.8614454747. The cubic root of 968757000 is about 989.4752856609.

The spelling of 968757000 in words is "nine hundred sixty-eight million, seven hundred fifty-seven thousand".