968976288 has 288 divisors, whose sum is σ = 3401274240. Its totient is φ = 255467520.

The previous prime is 968976259. The next prime is 968976289. The reversal of 968976288 is 882679869.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (968976289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1570156 + ... + 1570772.

It is an arithmetic number, because the mean of its divisors is an integer number (11809980).

Almost surely, 2^968976288 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 968976288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700637120).

968976288 is an abundant number, since it is smaller than the sum of its proper divisors (2432297952).

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

968976288 is a wasteful number, since it uses less digits than its factorization.

968976288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 968976288 is about 31128.3839606235. The cubic root of 968976288 is about 989.5499392932.

The spelling of 968976288 in words is "nine hundred sixty-eight million, nine hundred seventy-six thousand, two hundred eighty-eight".