159768000 has 336 divisors, whose sum is σ = 655222464. Its totient is φ = 36403200.

The previous prime is 159767983. The next prime is 159768001. The reversal of 159768000 is 867951.

159768000 is a `hidden beast` number, since 1 + 597 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159768001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 503842 + ... + 504158.

Almost surely, 2^159768000 is an apocalyptic number.

159768000 is a gapful number since it is divisible by the number (10) 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 159768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327611232).

159768000 is an abundant number, since it is smaller than the sum of its proper divisors (495454464).

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

159768000 is a wasteful number, since it uses less digits than its factorization.

159768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 159768000 is about 12639.9367087023. The cubic root of 159768000 is about 542.6210026902.

The spelling of 159768000 in words is "one hundred fifty-nine million, seven hundred sixty-eight thousand".