363090 has 96 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 72576.

The previous prime is 363067. The next prime is 363119. The reversal of 363090 is 90363.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19101 + ... + 19119.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2³⁶³⁰⁹⁰ is an apocalyptic number.

363090 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 363090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

363090 is an abundant number, since it is smaller than the sum of its proper divisors (786030).

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

363090 is a wasteful number, since it uses less digits than its factorization.

363090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 363090 is about 602.5694980664. The cubic root of 363090 is about 71.3408198585.

The spelling of 363090 in words is "three hundred sixty-three thousand, ninety".