368900 has 72 divisors (see below), whose sum is σ = 999936. Its totient is φ = 115200.

The previous prime is 368899. The next prime is 368911. The reversal of 368900 is 9863.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 368900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11885 + ... + 11915.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2³⁶⁸⁹⁰⁰ 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 368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

368900 is an abundant number, since it is smaller than the sum of its proper divisors (631036).

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

368900 is a wasteful number, since it uses less digits than its factorization.

368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 368900 is about 607.3713855624. The cubic root of 368900 is about 71.7193291193.

It can be divided in two parts, 36 and 8900, that multiplied together give a triangular number (320400 = T₈₀₀).

The spelling of 368900 in words is "three hundred sixty-eight thousand, nine hundred".