968545890 has 64 divisors (see below), whose sum is σ = 2781475200. Its totient is φ = 238410432.

The previous prime is 968545883. The next prime is 968545933. The reversal of 968545890 is 98545869.

It is a happy number.

968545890 is a `hidden beast` number, since 9 + 6 + 8 + 54 + 589 + 0 = 666.

It is a super-2 number, since 2×968545890² = 1876162282071784200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 134460 + ... + 141479.

It is an arithmetic number, because the mean of its divisors is an integer number (43460550).

Almost surely, 2^968545890 is an apocalyptic number.

968545890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

968545890 is an abundant number, since it is smaller than the sum of its proper divisors (1812929310).

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

968545890 is a wasteful number, since it uses less digits than its factorization.

968545890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275968 (or 275962 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 968545890 is about 31121.4699202978. The cubic root of 968545890 is about 989.4034054739.

The spelling of 968545890 in words is "nine hundred sixty-eight million, five hundred forty-five thousand, eight hundred ninety".