1993972864 has 48 divisors (see below), whose sum is σ = 4301486370. Its totient is φ = 920285184.

The previous prime is 1993972859. The next prime is 1993972889. The reversal of 1993972864 is 4682793991.

It can be written as a sum of positive squares in 3 ways, for example, as 457960000 + 1536012864 = 21400^2 + 39192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1993972799 and 1993972808.

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, 24457 + ... + 67720.

Almost surely, 2^1993972864 is an apocalyptic number.

It is an amenable number.

1993972864 is an abundant number, since it is smaller than the sum of its proper divisors (2307513506).

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

1993972864 is an equidigital number, since it uses as much as digits as its factorization.

1993972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92217 (or 92192 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 58.

The square root of 1993972864 is about 44653.9232766842. The cubic root of 1993972864 is about 1258.6541571660.

The spelling of 1993972864 in words is "one billion, nine hundred ninety-three million, nine hundred seventy-two thousand, eight hundred sixty-four".