361880 has 32 divisors (see below), whose sum is σ = 831600. Its totient is φ = 141696.

The previous prime is 361877. The next prime is 361901. The reversal of 361880 is 88163.

361880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 361880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3266 + ... + 3374.

2³⁶¹⁸⁸⁰ 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 361880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415800).

361880 is an abundant number, since it is smaller than the sum of its proper divisors (469720).

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

361880 is a wasteful number, since it uses less digits than its factorization.

361880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 361880 is about 601.5646266196. The cubic root of 361880 is about 71.2614837343.

The spelling of 361880 in words is "three hundred sixty-one thousand, eight hundred eighty".