968852664 has 168 divisors, whose sum is σ = 2952280440. Its totient is φ = 297805248.

The previous prime is 968852663. The next prime is 968852681. The reversal of 968852664 is 466258869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 968852664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968852663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 985117 + ... + 986099.

Almost surely, 2^968852664 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 968852664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476140220).

968852664 is an abundant number, since it is smaller than the sum of its proper divisors (1983427776).

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

968852664 is a wasteful number, since it uses less digits than its factorization.

968852664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1001 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 968852664 is about 31126.3981854631. The cubic root of 968852664 is about 989.5078545604.

The spelling of 968852664 in words is "nine hundred sixty-eight million, eight hundred fifty-two thousand, six hundred sixty-four".