159792864 has 96 divisors (see below), whose sum is σ = 522982656. Its totient is φ = 41502720.

The previous prime is 159792851. The next prime is 159792887. The reversal of 159792864 is 468297951.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417 + ... + 18200.

It is an arithmetic number, because the mean of its divisors is an integer number (5447736).

Almost surely, 2^159792864 is an apocalyptic number.

159792864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261491328).

159792864 is an abundant number, since it is smaller than the sum of its proper divisors (363189792).

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

159792864 is a wasteful number, since it uses less digits than its factorization.

159792864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21648 (or 21640 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 159792864 is about 12640.9202196676. The cubic root of 159792864 is about 542.6491498135.

The spelling of 159792864 in words is "one hundred fifty-nine million, seven hundred ninety-two thousand, eight hundred sixty-four".