968581200 has 60 divisors (see below), whose sum is σ = 3102692288. Its totient is φ = 258288000.

The previous prime is 968581177. The next prime is 968581223. The reversal of 968581200 is 2185869.

It is an interprime number because it is at equal distance from previous prime (968581177) and next prime (968581223).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402376 + ... + 404775.

Almost surely, 2^968581200 is an apocalyptic number.

It is an amenable number.

968581200 is an abundant number, since it is smaller than the sum of its proper divisors (2134111088).

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

968581200 is a wasteful number, since it uses less digits than its factorization.

968581200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807172 (or 807161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 968581200 is about 31122.0372083834. The cubic root of 968581200 is about 989.4154287933.

The spelling of 968581200 in words is "nine hundred sixty-eight million, five hundred eighty-one thousand, two hundred".