90364 has 24 divisors (see below), whose sum is σ = 176400. Its totient is φ = 40320.

The previous prime is 90359. The next prime is 90371. The reversal of 90364 is 46309.

90364 = T₆₄ + T₆₅ + ... + T₉₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2184 + ... + 2224.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

2⁹⁰³⁶⁴ is an apocalyptic number.

It is an amenable number.

90364 is a deficient number, since it is larger than the sum of its proper divisors (86036).

90364 is a wasteful number, since it uses less digits than its factorization.

90364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 90364 is about 300.6060544966. The cubic root of 90364 is about 44.8743821735.

It can be divided in two parts, 90 and 364, that added together give a palindrome (454).

The spelling of 90364 in words is "ninety thousand, three hundred sixty-four".