968303700 has 432 divisors, whose sum is σ = 3906624960. Its totient is φ = 203938560.

The previous prime is 968303639. The next prime is 968303717. The reversal of 968303700 is 7303869.

968303700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×968303700² = 1875224110867380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1719619 + ... + 1720181.

Almost surely, 2^968303700 is an apocalyptic number.

968303700 is a gapful number since it is divisible by the number (90) 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 968303700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953312480).

968303700 is an abundant number, since it is smaller than the sum of its proper divisors (2938321260).

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

968303700 is a wasteful number, since it uses less digits than its factorization.

968303700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 968303700 is about 31117.5786333063. The cubic root of 968303700 is about 989.3209300886.

The spelling of 968303700 in words is "nine hundred sixty-eight million, three hundred three thousand, seven hundred".