968395600 has 30 divisors (see below), whose sum is σ = 2326571390. Its totient is φ = 387358080.

The previous prime is 968395583. The next prime is 968395607. The reversal of 968395600 is 6593869.

It can be written as a sum of positive squares in 3 ways, for example, as 191324224 + 777071376 = 13832^2 + 27876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968395607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1210095 + ... + 1210894.

Almost surely, 2^968395600 is an apocalyptic number.

It is an amenable number.

968395600 is an abundant number, since it is smaller than the sum of its proper divisors (1358175790).

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

968395600 is a wasteful number, since it uses less digits than its factorization.

968395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421007 (or 2420996 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 968395600 is about 31119.0552555826. The cubic root of 968395600 is about 989.3522273346.

The spelling of 968395600 in words is "nine hundred sixty-eight million, three hundred ninety-five thousand, six hundred".