968948757 has 64 divisors (see below), whose sum is σ = 1763942400. Its totient is φ = 513293760.

The previous prime is 968948753. The next prime is 968948767. The reversal of 968948757 is 757849869.

968948757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968948757 - 2² = 968948753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 968948694 and 968948703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968948753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165907 + ... + 171647.

It is an arithmetic number, because the mean of its divisors is an integer number (27561600).

Almost surely, 2^968948757 is an apocalyptic number.

It is an amenable number.

968948757 is a deficient number, since it is larger than the sum of its proper divisors (794993643).

968948757 is a wasteful number, since it uses less digits than its factorization.

968948757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5817 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 968948757 is about 31127.9417405006. The cubic root of 968948757 is about 989.5405673551.

The spelling of 968948757 in words is "nine hundred sixty-eight million, nine hundred forty-eight thousand, seven hundred fifty-seven".