361080 has 96 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 89088.

The previous prime is 361069. The next prime is 361091. The reversal of 361080 is 80163.

It is an interprime number because it is at equal distance from previous prime (361069) and next prime (361091).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 361080.

It is an unprimeable number.

361080 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, 6091 + ... + 6149.

2³⁶¹⁰⁸⁰ is an apocalyptic number.

361080 is a gapful number since it is divisible by the number (30) 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 361080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631800).

361080 is an abundant number, since it is smaller than the sum of its proper divisors (902520).

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

361080 is a wasteful number, since it uses less digits than its factorization.

361080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 361080 is about 600.8993260106. The cubic root of 361080 is about 71.2089329364.

The spelling of 361080 in words is "three hundred sixty-one thousand, eighty".