968825984 has 32 divisors (see below), whose sum is σ = 2205811200. Its totient is φ = 415210752.

The previous prime is 968825983. The next prime is 968825999. The reversal of 968825984 is 489528869.

968825984 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 (32).

It is a super-3 number, since 3×968825984³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (968825983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539744 + ... + 541535.

It is an arithmetic number, because the mean of its divisors is an integer number (68931600).

Almost surely, 2^968825984 is an apocalyptic number.

It is an amenable number.

968825984 is an abundant number, since it is smaller than the sum of its proper divisors (1236985216).

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

968825984 is a wasteful number, since it uses less digits than its factorization.

968825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081300 (or 1081288 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 59.

The square root of 968825984 is about 31125.9696073873. The cubic root of 968825984 is about 989.4987715447.

The spelling of 968825984 in words is "nine hundred sixty-eight million, eight hundred twenty-five thousand, nine hundred eighty-four".