368536 has 16 divisors (see below), whose sum is σ = 789840. Its totient is φ = 157920.

The previous prime is 368531. The next prime is 368539. The reversal of 368536 is 635863.

It is a super-3 number, since 3×368536³ = 150162333362323968, which contains 333 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 368498 and 368507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368531) by changing a digit.

368536 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3235 + ... + 3346.

It is an arithmetic number, because the mean of its divisors is an integer number (49365).

2³⁶⁸⁵³⁶ is an apocalyptic number.

It is an amenable number.

368536 is an abundant number, since it is smaller than the sum of its proper divisors (421304).

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

368536 is a wasteful number, since it uses less digits than its factorization.

368536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6590 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 368536 is about 607.0716596910. The cubic root of 368536 is about 71.6957324564.

It can be divided in two parts, 3685 and 36, that added together give a square (3721 = 61²).

The spelling of 368536 in words is "three hundred sixty-eight thousand, five hundred thirty-six".