90187440 has 120 divisors (see below), whose sum is σ = 325269360. Its totient is φ = 20611584.

The previous prime is 90187429. The next prime is 90187441. The reversal of 90187440 is 4478109.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90187441) 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, 7926 + ... + 15594.

It is an arithmetic number, because the mean of its divisors is an integer number (2710578).

Almost surely, 2^90187440 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 90187440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162634680).

90187440 is an abundant number, since it is smaller than the sum of its proper divisors (235081920).

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

90187440 is a wasteful number, since it uses less digits than its factorization.

90187440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 90187440 is about 9496.7067976220. The cubic root of 90187440 is about 448.4513680026.

The spelling of 90187440 in words is "ninety million, one hundred eighty-seven thousand, four hundred forty".