968798208 has 156 divisors (see below), whose sum is σ = 3006752280. Its totient is φ = 276627456.

The previous prime is 968798189. The next prime is 968798209. The reversal of 968798208 is 802897869.

It is a super-2 number, since 2×968798208² = 1877139935648022528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (968798209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 601308 + ... + 602916.

Almost surely, 2^968798208 is an apocalyptic number.

968798208 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503376140).

968798208 is an abundant number, since it is smaller than the sum of its proper divisors (2037954072).

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

968798208 is a wasteful number, since it uses less digits than its factorization.

968798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 968798208 is about 31125.5234172857. The cubic root of 968798208 is about 989.4893152265.

The spelling of 968798208 in words is "nine hundred sixty-eight million, seven hundred ninety-eight thousand, two hundred eight".