360880 has 40 divisors (see below), whose sum is σ = 906192. Its totient is φ = 132864.

The previous prime is 360869. The next prime is 360901. The reversal of 360880 is 88063.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

360880 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, 867 + ... + 1213.

2³⁶⁰⁸⁸⁰ 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 360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453096).

360880 is an abundant number, since it is smaller than the sum of its proper divisors (545312).

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

360880 is a wasteful number, since it uses less digits than its factorization.

360880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 360880 is about 600.7328857321. The cubic root of 360880 is about 71.1957831109.

The spelling of 360880 in words is "three hundred sixty thousand, eight hundred eighty".