90840096 has 96 divisors (see below), whose sum is σ = 270708480. Its totient is φ = 29622528.

The previous prime is 90840077. The next prime is 90840149. The reversal of 90840096 is 69004809.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90840096.

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, 39490 + ... + 41726.

It is an arithmetic number, because the mean of its divisors is an integer number (2819880).

Almost surely, 2^90840096 is an apocalyptic number.

90840096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135354240).

90840096 is an abundant number, since it is smaller than the sum of its proper divisors (179868384).

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

90840096 is a wasteful number, since it uses less digits than its factorization.

With its successor (90840097) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2303).

90840096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90840096 is about 9531.0070821503. The cubic root of 90840096 is about 449.5305326156.

The spelling of 90840096 in words is "ninety million, eight hundred forty thousand, ninety-six".