90930 has 32 divisors (see below), whose sum is σ = 249984. Its totient is φ = 20736.

The previous prime is 90917. The next prime is 90931. The reversal of 90930 is 3909.

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

It is a junction number, because it is equal to n+sod(n) for n = 90897 and 90906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90930.

It is not an unprimeable number, because it can be changed into a prime (90931) by changing a digit.

90930 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 15 ways as a sum of consecutive naturals, for example, 7 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁹⁰⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

90930 is an abundant number, since it is smaller than the sum of its proper divisors (159054).

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

90930 is a wasteful number, since it uses less digits than its factorization.

90930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450.

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

The square root of 90930 is about 301.5460163889. The cubic root of 90930 is about 44.9678783111.

Adding to 90930 its sum of digits (21), we get a triangular number (90951 = T₄₂₆).

Subtracting from 90930 its sum of digits (21), we obtain a palindrome (90909).

It can be divided in two parts, 909 and 30, that added together give a palindrome (939).

The spelling of 90930 in words is "ninety thousand, nine hundred thirty".