159763968 has 320 divisors, whose sum is σ = 586629120. Its totient is φ = 41803776.

The previous prime is 159763939. The next prime is 159763973. The reversal of 159763968 is 869367951.

159763968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×159763968² = 51049050942210048, which contains 22 as substring.

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

It is a congruent number.

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, 1257921 + ... + 1258047.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 2^159763968 is an apocalyptic number.

159763968 is a gapful number since it is divisible by the number (18) 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 159763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293314560).

159763968 is an abundant number, since it is smaller than the sum of its proper divisors (426865152).

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

159763968 is a wasteful number, since it uses less digits than its factorization.

159763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 159763968 is about 12639.7772132265. Note that the first 3 decimals coincide. The cubic root of 159763968 is about 542.6164380166.

159763968 divided by its sum of digits (54) gives a palindrome (2958592).

The spelling of 159763968 in words is "one hundred fifty-nine million, seven hundred sixty-three thousand, nine hundred sixty-eight".