159600 has 120 divisors (see below), whose sum is σ = 615040. Its totient is φ = 34560.
The previous prime is 159589. The next prime is 159617. The reversal of 159600 is 6951.
159600 = T120 + T121 + ... + T138.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159600.
It is an unprimeable number.
159600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8391 + ... + 8409.
2159600 is an apocalyptic number.
159600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a pronic number, being equal to 399×400.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 159600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307520).
159600 is an abundant number, since it is smaller than the sum of its proper divisors (455440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
159600 is a wasteful number, since it uses less digits than its factorization.
159600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 21.
The square root of 159600 is about 399.4996871088. The cubic root of 159600 is about 54.2430742856.
Subtracting from 159600 its product of nonzero digits (270), we obtain a triangular number (159330 = T564).
The spelling of 159600 in words is "one hundred fifty-nine thousand, six hundred".
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