159007968 has 192 divisors, whose sum is σ = 539965440. Its totient is φ = 44582400.

The previous prime is 159007913. The next prime is 159007969. The reversal of 159007968 is 869700951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159007969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368713 + ... + 369143.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^159007968 is an apocalyptic number.

159007968 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 159007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

159007968 is an abundant number, since it is smaller than the sum of its proper divisors (380957472).

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

159007968 is a wasteful number, since it uses less digits than its factorization.

159007968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 159007968 is about 12609.8361607120. The cubic root of 159007968 is about 541.7592009591.

The spelling of 159007968 in words is "one hundred fifty-nine million, seven thousand, nine hundred sixty-eight".