93090 has 32 divisors (see below), whose sum is σ = 233280. Its totient is φ = 23744.

The previous prime is 93089. The next prime is 93097. The reversal of 93090 is 9039.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93090.

It is not an unprimeable number, because it can be changed into a prime (93097) 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, 817 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2⁹³⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640).

93090 is an abundant number, since it is smaller than the sum of its proper divisors (140190).

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

93090 is a wasteful number, since it uses less digits than its factorization.

93090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 93090 is about 305.1065387697. The cubic root of 93090 is about 45.3211592646.

The spelling of 93090 in words is "ninety-three thousand, ninety".