364820 has 48 divisors (see below), whose sum is σ = 861840. Its totient is φ = 129024.

The previous prime is 364801. The next prime is 364829. The reversal of 364820 is 28463.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35344 + 329476 = 188^2 + 574^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364829) by changing a digit.

364820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9842 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2³⁶⁴⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

364820 is an abundant number, since it is smaller than the sum of its proper divisors (497020).

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

364820 is a wasteful number, since it uses less digits than its factorization.

364820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 364820 is about 604.0033112492. The cubic root of 364820 is about 71.4539452710.

The spelling of 364820 in words is "three hundred sixty-four thousand, eight hundred twenty".