90818784 has 144 divisors (see below), whose sum is σ = 310826880. Its totient is φ = 24572160.

The previous prime is 90818779. The next prime is 90818801. The reversal of 90818784 is 48781809.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37119 + ... + 39489.

It is an arithmetic number, because the mean of its divisors is an integer number (2158520).

Almost surely, 2^90818784 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 90818784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155413440).

90818784 is an abundant number, since it is smaller than the sum of its proper divisors (220008096).

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

90818784 is a wasteful number, since it uses less digits than its factorization.

90818784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 90818784 is about 9529.8889815149. Note that the first 3 decimals coincide. The cubic root of 90818784 is about 449.4953750716.

The spelling of 90818784 in words is "ninety million, eight hundred eighteen thousand, seven hundred eighty-four".