90140880 has 80 divisors (see below), whose sum is σ = 287017344. Its totient is φ = 23385600.

The previous prime is 90140873. The next prime is 90140881. The reversal of 90140880 is 8804109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90140881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805 + ... + 13955.

Almost surely, 2^90140880 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 90140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143508672).

90140880 is an abundant number, since it is smaller than the sum of its proper divisors (196876464).

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

90140880 is a wasteful number, since it uses less digits than its factorization.

90140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204 (or 10198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 90140880 is about 9494.2551050622. The cubic root of 90140880 is about 448.3741824955.

Adding to 90140880 its reverse (8804109), we get a palindrome (98944989).

The spelling of 90140880 in words is "ninety million, one hundred forty thousand, eight hundred eighty".