90440 has 64 divisors (see below), whose sum is σ = 259200. Its totient is φ = 27648.

The previous prime is 90439. The next prime is 90469. The reversal of 90440 is 4409.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4751 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁹⁰⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

90440 is an abundant number, since it is smaller than the sum of its proper divisors (168760).

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

90440 is a wasteful number, since it uses less digits than its factorization.

90440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 90440 is about 300.7324392213. The cubic root of 90440 is about 44.8869590750.

Adding to 90440 its reverse (4409), we get a palindrome (94849).

The spelling of 90440 in words is "ninety thousand, four hundred forty".