968485520 has 40 divisors (see below), whose sum is σ = 2257589880. Its totient is φ = 386385920.

The previous prime is 968485513. The next prime is 968485523. The reversal of 968485520 is 25584869.

It can be written as a sum of positive squares in 4 ways, for example, as 37503376 + 930982144 = 6124^2 + 30512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (968485523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15560 + ... + 46680.

It is an arithmetic number, because the mean of its divisors is an integer number (56439747).

Almost surely, 2^968485520 is an apocalyptic number.

It is a pronic number, being equal to 31120×31121.

It is an amenable number.

968485520 is an abundant number, since it is smaller than the sum of its proper divisors (1289104360).

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

968485520 is a wasteful number, since it uses less digits than its factorization.

968485520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31523 (or 31517 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 968485520 is about 31120.4999959834. The cubic root of 968485520 is about 989.3828483600.

The spelling of 968485520 in words is "nine hundred sixty-eight million, four hundred eighty-five thousand, five hundred twenty".