968908900 has 36 divisors (see below), whose sum is σ = 2142214452. Its totient is φ = 380248960.

The previous prime is 968908873. The next prime is 968908907. The reversal of 968908900 is 9809869.

It can be written as a sum of positive squares in 6 ways, for example, as 92275236 + 876633664 = 9606^2 + 29608^2 .

It is not an unprimeable number, because it can be changed into a prime (968908907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86107 + ... + 96706.

It is an arithmetic number, because the mean of its divisors is an integer number (59505957).

Almost surely, 2^968908900 is an apocalyptic number.

It is an amenable number.

968908900 is an abundant number, since it is smaller than the sum of its proper divisors (1173305552).

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

968908900 is a wasteful number, since it uses less digits than its factorization.

968908900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182880 (or 182873 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The square root of 968908900 is about 31127.3015213333. The cubic root of 968908900 is about 989.5269991594.

The spelling of 968908900 in words is "nine hundred sixty-eight million, nine hundred eight thousand, nine hundred".