968913264 has 160 divisors (see below), whose sum is σ = 2823033600. Its totient is φ = 283852800.

The previous prime is 968913259. The next prime is 968913269. The reversal of 968913264 is 462319869.

It is an interprime number because it is at equal distance from previous prime (968913259) and next prime (968913269).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968913269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157712 + ... + 2158160.

It is an arithmetic number, because the mean of its divisors is an integer number (17643960).

Almost surely, 2^968913264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968913264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411516800).

968913264 is an abundant number, since it is smaller than the sum of its proper divisors (1854120336).

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

968913264 is a wasteful number, since it uses less digits than its factorization.

968913264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 968913264 is about 31127.3716204886. The cubic root of 968913264 is about 989.5284847787.

The spelling of 968913264 in words is "nine hundred sixty-eight million, nine hundred thirteen thousand, two hundred sixty-four".