159905664 has 192 divisors, whose sum is σ = 491203440. Its totient is φ = 51757056.

The previous prime is 159905659. The next prime is 159905693. The reversal of 159905664 is 466509951.

It is a happy number.

159905664 is a `hidden beast` number, since 1 + 599 + 0 + 56 + 6 + 4 = 666.

159905664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648464 + ... + 1648560.

Almost surely, 2^159905664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245601720).

159905664 is an abundant number, since it is smaller than the sum of its proper divisors (331297776).

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

159905664 is an frugal number, since it uses more digits than its factorization.

159905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 159905664 is about 12645.3811330462. The cubic root of 159905664 is about 542.7768076346.

The spelling of 159905664 in words is "one hundred fifty-nine million, nine hundred five thousand, six hundred sixty-four".