361590 has 32 divisors (see below), whose sum is σ = 920160. Its totient is φ = 90624.

The previous prime is 361577. The next prime is 361637. The reversal of 361590 is 95163.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 361590.

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 361590.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (28755).

2³⁶¹⁵⁹⁰ is an apocalyptic number.

361590 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 361590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460080).

361590 is an abundant number, since it is smaller than the sum of its proper divisors (558570).

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

361590 is a wasteful number, since it uses less digits than its factorization.

361590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 361590 is about 601.3235402011. The cubic root of 361590 is about 71.2424430274.

The spelling of 361590 in words is "three hundred sixty-one thousand, five hundred ninety".