363990 has 32 divisors (see below), whose sum is σ = 953856. Its totient is φ = 88160.

The previous prime is 363989. The next prime is 364027. The reversal of 363990 is 99363.

363990 = T₁₀₆ + T₁₀₇ + ... + T₁₄₉.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 363990.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (29808).

2³⁶³⁹⁹⁰ is an apocalyptic number.

363990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

363990 is an abundant number, since it is smaller than the sum of its proper divisors (589866).

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

363990 is a wasteful number, since it uses less digits than its factorization.

363990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 363990 is about 603.3158376837. The cubic root of 363990 is about 71.3997159637.

The spelling of 363990 in words is "three hundred sixty-three thousand, nine hundred ninety".