368790 has 32 divisors (see below), whose sum is σ = 933120. Its totient is φ = 93024.

The previous prime is 368789. The next prime is 368791. The reversal of 368790 is 97863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (368789) and next prime (368791).

It is a nialpdrome in base 15.

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 368790.

It is not an unprimeable number, because it can be changed into a prime (368791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2³⁶⁸⁷⁹⁰ is an apocalyptic number.

368790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

368790 is an abundant number, since it is smaller than the sum of its proper divisors (564330).

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

368790 is a wasteful number, since it uses less digits than its factorization.

368790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 368790 is about 607.2808246602. The cubic root of 368790 is about 71.7121998969.

The spelling of 368790 in words is "three hundred sixty-eight thousand, seven hundred ninety".