159684672 has 224 divisors, whose sum is σ = 531083520. Its totient is φ = 41287680.

The previous prime is 159684649. The next prime is 159684691. The reversal of 159684672 is 276486951.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662472 + ... + 662712.

Almost surely, 2^159684672 is an apocalyptic number.

159684672 is a gapful number since it is divisible by the number (12) 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 159684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265541760).

159684672 is an abundant number, since it is smaller than the sum of its proper divisors (371398848).

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

159684672 is a wasteful number, since it uses less digits than its factorization.

159684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 159684672 is about 12636.6400597627. The cubic root of 159684672 is about 542.5266504920.

It can be divided in two parts, 1596 and 84672, that added together give a palindrome (86268).

The spelling of 159684672 in words is "one hundred fifty-nine million, six hundred eighty-four thousand, six hundred seventy-two".