363690 has 40 divisors (see below), whose sum is σ = 980100. Its totient is φ = 96768.

The previous prime is 363683. The next prime is 363691. The reversal of 363690 is 96363.

It can be written as a sum of positive squares in 2 ways, for example, as 363609 + 81 = 603^2 + 9^2 .

It is a super-2 number, since 2×363690² = 264540832200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

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

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 363690.

It is not an unprimeable number, because it can be changed into a prime (363691) by changing a digit.

363690 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 19 ways as a sum of consecutive naturals, for example, 586 + ... + 1034.

2³⁶³⁶⁹⁰ is an apocalyptic number.

363690 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 363690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490050).

363690 is an abundant number, since it is smaller than the sum of its proper divisors (616410).

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

363690 is a wasteful number, since it uses less digits than its factorization.

363690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 363690 is about 603.0671604390. The cubic root of 363690 is about 71.3800947266.

The spelling of 363690 in words is "three hundred sixty-three thousand, six hundred ninety".