361320 has 32 divisors (see below), whose sum is σ = 1084320. Its totient is φ = 96320.

The previous prime is 361313. The next prime is 361321. The reversal of 361320 is 23163.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 361320.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361320.

It is not an unprimeable number, because it can be changed into a prime (361321) by changing a digit.

361320 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 7 ways as a sum of consecutive naturals, for example, 1386 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (33885).

2³⁶¹³²⁰ is an apocalyptic number.

361320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361320 is an abundant number, since it is smaller than the sum of its proper divisors (723000).

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

361320 is a wasteful number, since it uses less digits than its factorization.

361320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 361320 is about 601.0989935111. The cubic root of 361320 is about 71.2247063188.

Adding to 361320 its reverse (23163), we get a palindrome (384483).

The spelling of 361320 in words is "three hundred sixty-one thousand, three hundred twenty".