368500 has 48 divisors (see below), whose sum is σ = 891072. Its totient is φ = 132000.

The previous prime is 368491. The next prime is 368507. The reversal of 368500 is 5863.

It is a hoax number, since the sum of its digits (22) 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 (22).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368507) by changing a digit.

368500 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 15 ways as a sum of consecutive naturals, for example, 5467 + ... + 5533.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

368500 is a Friedman number, since it can be written as 500*(8+3^6), using all its digits and the basic arithmetic operations.

2³⁶⁸⁵⁰⁰ 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 368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536).

368500 is an abundant number, since it is smaller than the sum of its proper divisors (522572).

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

368500 is a wasteful number, since it uses less digits than its factorization.

368500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 368500 is about 607.0420084310. The cubic root of 368500 is about 71.6933978763.

It can be divided in two parts, 368 and 500, that added together give a palindrome (868).

The spelling of 368500 in words is "three hundred sixty-eight thousand, five hundred".