364536 has 48 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 118080.

The previous prime is 364523. The next prime is 364537. The reversal of 364536 is 635463.

It is a zygodrome in base 11.

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 364536.

It is not an unprimeable number, because it can be changed into a prime (364537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4351 + ... + 4433.

2³⁶⁴⁵³⁶ is an apocalyptic number.

364536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

364536 is an abundant number, since it is smaller than the sum of its proper divisors (651024).

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

364536 is a wasteful number, since it uses less digits than its factorization.

364536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 364536 is about 603.7681674285. The cubic root of 364536 is about 71.4353989664.

Adding to 364536 its reverse (635463), we get a palindrome (999999).

It can be divided in two parts, 364 and 536, that added together give a square (900 = 30²).

The spelling of 364536 in words is "three hundred sixty-four thousand, five hundred thirty-six".