968100540 has 96 divisors (see below), whose sum is σ = 3112784640. Its totient is φ = 222336000.

The previous prime is 968100527. The next prime is 968100541. The reversal of 968100540 is 45001869.

968100540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968100541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26061 + ... + 51140.

It is an arithmetic number, because the mean of its divisors is an integer number (32424840).

Almost surely, 2^968100540 is an apocalyptic number.

It is an amenable number.

968100540 is an abundant number, since it is smaller than the sum of its proper divisors (2144684100).

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

968100540 is a wasteful number, since it uses less digits than its factorization.

968100540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77243 (or 77241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 968100540 is about 31114.3140692511. The cubic root of 968100540 is about 989.2517353726.

The spelling of 968100540 in words is "nine hundred sixty-eight million, one hundred thousand, five hundred forty".