967969920 has 64 divisors (see below), whose sum is σ = 3085410240. Its totient is φ = 258124800.

The previous prime is 967969903. The next prime is 967969957. The reversal of 967969920 is 29969769.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 250156 + ... + 253995.

It is an arithmetic number, because the mean of its divisors is an integer number (48209535).

Almost surely, 2^967969920 is an apocalyptic number.

It is an amenable number.

967969920 is an abundant number, since it is smaller than the sum of its proper divisors (2117440320).

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

967969920 is a wasteful number, since it uses less digits than its factorization.

967969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504173 (or 504161 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 57.

The square root of 967969920 is about 31112.2149645441. The cubic root of 967969920 is about 989.2072421035.

The spelling of 967969920 in words is "nine hundred sixty-seven million, nine hundred sixty-nine thousand, nine hundred twenty".