968535720 has 48 divisors (see below), whose sum is σ = 3147742260. Its totient is φ = 258276096.

The previous prime is 968535703. The next prime is 968535739. The reversal of 968535720 is 27535869.

It is a happy number.

968535720 is a `hidden beast` number, since 96 + 8 + 535 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 966339396 + 2196324 = 31086^2 + 1482^2 .

It is a super-2 number, since 2×968535720² = 1876122881831836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344829 + ... + 1345548.

Almost surely, 2^968535720 is an apocalyptic number.

968535720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968535720 is an abundant number, since it is smaller than the sum of its proper divisors (2179206540).

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

968535720 is a wasteful number, since it uses less digits than its factorization.

968535720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690394 (or 2690387 counting only the distinct ones).

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

The square root of 968535720 is about 31121.3065278436. The cubic root of 968535720 is about 989.3999424586.

The spelling of 968535720 in words is "nine hundred sixty-eight million, five hundred thirty-five thousand, seven hundred twenty".