90630 has 48 divisors (see below), whose sum is σ = 252720. Its totient is φ = 22464.

The previous prime is 90619. The next prime is 90631. The reversal of 90630 is 3609.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90631) by changing a digit.

90630 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 23 ways as a sum of consecutive naturals, for example, 1684 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁹⁰⁶³⁰ is an apocalyptic number.

90630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

90630 is an abundant number, since it is smaller than the sum of its proper divisors (162090).

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

90630 is a wasteful number, since it uses less digits than its factorization.

90630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 90630 is about 301.0481689033. The cubic root of 90630 is about 44.9183705332.

The spelling of 90630 in words is "ninety thousand, six hundred thirty".