968063800 has 96 divisors (see below), whose sum is σ = 2474841600. Its totient is φ = 349232000.

The previous prime is 968063779. The next prime is 968063801. The reversal of 968063800 is 8360869.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968063801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286521 + ... + 289879.

It is an arithmetic number, because the mean of its divisors is an integer number (25779600).

Almost surely, 2^968063800 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 968063800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237420800).

968063800 is an abundant number, since it is smaller than the sum of its proper divisors (1506777800).

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

968063800 is a wasteful number, since it uses less digits than its factorization.

968063800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 968063800 is about 31113.7236601471. The cubic root of 968063800 is about 989.2392209808.

The spelling of 968063800 in words is "nine hundred sixty-eight million, sixty-three thousand, eight hundred".