968620107 has 64 divisors (see below), whose sum is σ = 1643586560. Its totient is φ = 493807104.

The previous prime is 968620073. The next prime is 968620109. The reversal of 968620107 is 701026869.

It is not a de Polignac number, because 968620107 - 2⁷ = 968619979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (968620109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1279173 + ... + 1279929.

It is an arithmetic number, because the mean of its divisors is an integer number (25681040).

Almost surely, 2^968620107 is an apocalyptic number.

968620107 is a deficient number, since it is larger than the sum of its proper divisors (674966453).

968620107 is a wasteful number, since it uses less digits than its factorization.

968620107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 968620107 is about 31122.6622736552. The cubic root of 968620107 is about 989.4286765798.

The spelling of 968620107 in words is "nine hundred sixty-eight million, six hundred twenty thousand, one hundred seven".