968548896 has 108 divisors (see below), whose sum is σ = 3204041022. Its totient is φ = 276724224.

The previous prime is 968548879. The next prime is 968548907. The reversal of 968548896 is 698845869.

968548896 is a `hidden beast` number, since 9 + 6 + 8 + 548 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 727057296 + 241491600 = 26964^2 + 15540^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20205 + ... + 48428.

Almost surely, 2^968548896 is an apocalyptic number.

968548896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

968548896 is an abundant number, since it is smaller than the sum of its proper divisors (2235492126).

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

968548896 is a wasteful number, since it uses less digits than its factorization.

968548896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68663 (or 68645 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 968548896 is about 31121.5182148943. The cubic root of 968548896 is about 989.4044290508.

The spelling of 968548896 in words is "nine hundred sixty-eight million, five hundred forty-eight thousand, eight hundred ninety-six".