968355072 has 54 divisors (see below), whose sum is σ = 2792013042. Its totient is φ = 322784256.

The previous prime is 968355067. The next prime is 968355133. The reversal of 968355072 is 270553869.

It is a happy number.

968355072 is a `hidden beast` number, since 96 + 8 + 3 + 550 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 810199296 + 158155776 = 28464^2 + 12576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207843 + ... + 212450.

Almost surely, 2^968355072 is an apocalyptic number.

It is an amenable number.

968355072 is an abundant number, since it is smaller than the sum of its proper divisors (1823657970).

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

968355072 is a wasteful number, since it uses less digits than its factorization.

968355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420315 (or 420298 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 968355072 is about 31118.4040721885. The cubic root of 968355072 is about 989.3384254591.

The spelling of 968355072 in words is "nine hundred sixty-eight million, three hundred fifty-five thousand, seventy-two".