158880 has 48 divisors (see below), whose sum is σ = 501984. Its totient is φ = 42240.

The previous prime is 158867. The next prime is 158881. The reversal of 158880 is 88851.

158880 = T₃₆ + T₃₇ + ... + T₉₉.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (158881) by changing a digit.

158880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (10458).

2¹⁵⁸⁸⁸⁰ is an apocalyptic number.

158880 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 158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250992).

158880 is an abundant number, since it is smaller than the sum of its proper divisors (343104).

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

158880 is a wasteful number, since it uses less digits than its factorization.

158880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 158880 is about 398.5975413873. The cubic root of 158880 is about 54.1613827850.

The spelling of 158880 in words is "one hundred fifty-eight thousand, eight hundred eighty".