364144 has 20 divisors (see below), whose sum is σ = 770040. Its totient is φ = 165440.

The previous prime is 364141. The next prime is 364171. The reversal of 364144 is 441463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 13.

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 364144.

It is not an unprimeable number, because it can be changed into a prime (364141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 859 + ... + 1210.

It is an arithmetic number, because the mean of its divisors is an integer number (38502).

2³⁶⁴¹⁴⁴ is an apocalyptic number.

It is an amenable number.

364144 is an abundant number, since it is smaller than the sum of its proper divisors (405896).

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

364144 is a wasteful number, since it uses less digits than its factorization.

364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2082 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 364144 is about 603.4434521975. The cubic root of 364144 is about 71.4097840113.

The spelling of 364144 in words is "three hundred sixty-four thousand, one hundred forty-four".