360990 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 82080.

The previous prime is 360989. The next prime is 361001. The reversal of 360990 is 99063.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³⁶⁰⁹⁹⁰ is an apocalyptic number.

360990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 360990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

360990 is an abundant number, since it is smaller than the sum of its proper divisors (744930).

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

360990 is a wasteful number, since it uses less digits than its factorization.

360990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 360990 is about 600.8244335910. The cubic root of 360990 is about 71.2030161160.

The spelling of 360990 in words is "three hundred sixty thousand, nine hundred ninety".