968084964 has 108 divisors (see below), whose sum is σ = 3105477648. Its totient is φ = 251445600.

The previous prime is 968084959. The next prime is 968084969. The reversal of 968084964 is 469480869.

It is an interprime number because it is at equal distance from previous prime (968084959) and next prime (968084969).

It is a self number, because there is not a number n which added to its sum of digits gives 968084964.

It is not an unprimeable number, because it can be changed into a prime (968084969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5542 + ... + 44349.

Almost surely, 2^968084964 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 968084964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552738824).

968084964 is an abundant number, since it is smaller than the sum of its proper divisors (2137392684).

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

968084964 is a wasteful number, since it uses less digits than its factorization.

968084964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49926 (or 49914 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 968084964 is about 31114.0637654421. The cubic root of 968084964 is about 989.2464299086.

The spelling of 968084964 in words is "nine hundred sixty-eight million, eighty-four thousand, nine hundred sixty-four".