968087700 has 108 divisors (see below), whose sum is σ = 3146881920. Its totient is φ = 258150240.

The previous prime is 968087671. The next prime is 968087707. The reversal of 968087700 is 7780869.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968087707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4381 + ... + 44219.

Almost surely, 2^968087700 is an apocalyptic number.

968087700 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 968087700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573440960).

968087700 is an abundant number, since it is smaller than the sum of its proper divisors (2178794220).

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

968087700 is a wasteful number, since it uses less digits than its factorization.

968087700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39868 (or 39849 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 968087700 is about 31114.1077326669. The cubic root of 968087700 is about 989.2473618432.

The spelling of 968087700 in words is "nine hundred sixty-eight million, eighty-seven thousand, seven hundred".