90270 has 48 divisors (see below), whose sum is σ = 252720. Its totient is φ = 22272.

The previous prime is 90263. The next prime is 90271. The reversal of 90270 is 7209.

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

90270 is a modest number, since divided by 270 gives 90 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501 + ... + 1559.

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

2⁹⁰²⁷⁰ is an apocalyptic number.

90270 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 90270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

90270 is an abundant number, since it is smaller than the sum of its proper divisors (162450).

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

90270 is a wasteful number, since it uses less digits than its factorization.

90270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 90270 is about 300.4496630053. The cubic root of 90270 is about 44.8588167735.

Adding to 90270 its reverse (7209), we get a palindrome (97479).

The spelling of 90270 in words is "ninety thousand, two hundred seventy".