370980 has 60 divisors (see below), whose sum is σ = 1168860. Its totient is φ = 98496.

The previous prime is 370949. The next prime is 371027. The reversal of 370980 is 89073.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 116964 = 504^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 370980.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1506 + ... + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (19481).

2³⁷⁰⁹⁸⁰ is an apocalyptic number.

370980 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 370980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584430).

370980 is an abundant number, since it is smaller than the sum of its proper divisors (797880).

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

370980 is a wasteful number, since it uses less digits than its factorization.

370980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 370980 is about 609.0812753648. The cubic root of 370980 is about 71.8538702855.

The spelling of 370980 in words is "three hundred seventy thousand, nine hundred eighty".