968970528 has 72 divisors (see below), whose sum is σ = 2759024268. Its totient is φ = 322578432.

The previous prime is 968970521. The next prime is 968970599. The reversal of 968970528 is 825079869.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 747913104 + 221057424 = 27348^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (968970521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 295876 + ... + 299132.

Almost surely, 2^968970528 is an apocalyptic number.

It is an amenable number.

968970528 is an abundant number, since it is smaller than the sum of its proper divisors (1790053740).

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

968970528 is a wasteful number, since it uses less digits than its factorization.

968970528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 968970528 is about 31128.2914404244. The cubic root of 968970528 is about 989.5479785232.

The spelling of 968970528 in words is "nine hundred sixty-eight million, nine hundred seventy thousand, five hundred twenty-eight".