90009400 has 72 divisors (see below), whose sum is σ = 226693080. Its totient is φ = 33221760.

The previous prime is 90009389. The next prime is 90009401. The reversal of 90009400 is 490009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90009401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32469 + ... + 35131.

It is an arithmetic number, because the mean of its divisors is an integer number (3148515).

Almost surely, 2^90009400 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 90009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113346540).

90009400 is an abundant number, since it is smaller than the sum of its proper divisors (136683680).

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

90009400 is a wasteful number, since it uses less digits than its factorization.

90009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 90009400 is about 9487.3283910698. The cubic root of 90009400 is about 448.1560760402.

Adding to 90009400 its reverse (490009), we get a palindrome (90499409).

It can be divided in two parts, 90009 and 400, that added together give a palindrome (90409).

The spelling of 90009400 in words is "ninety million, nine thousand, four hundred".