968827392 has 240 divisors, whose sum is σ = 3127924800. Its totient is φ = 297603072.

The previous prime is 968827381. The next prime is 968827427. The reversal of 968827392 is 293728869.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1617109 + ... + 1617707.

It is an arithmetic number, because the mean of its divisors is an integer number (13033020).

Almost surely, 2^968827392 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 968827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563962400).

968827392 is an abundant number, since it is smaller than the sum of its proper divisors (2159097408).

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

968827392 is an equidigital number, since it uses as much as digits as its factorization.

968827392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 617 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 968827392 is about 31125.9922251484. The cubic root of 968827392 is about 989.4992508924.

The spelling of 968827392 in words is "nine hundred sixty-eight million, eight hundred twenty-seven thousand, three hundred ninety-two".