968937984 has 640 divisors, whose sum is σ = 3771187200. Its totient is φ = 238878720.

The previous prime is 968937973. The next prime is 968937989. The reversal of 968937984 is 489739869.

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 (968937989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31256049 + ... + 31256079.

It is an arithmetic number, because the mean of its divisors is an integer number (5892480).

Almost surely, 2^968937984 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 968937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885593600).

968937984 is an abundant number, since it is smaller than the sum of its proper divisors (2802249216).

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

968937984 is a wasteful number, since it uses less digits than its factorization.

968937984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 968937984 is about 31127.7686961337. The cubic root of 968937984 is about 989.5369000267.

The spelling of 968937984 in words is "nine hundred sixty-eight million, nine hundred thirty-seven thousand, nine hundred eighty-four".