90419784 has 128 divisors (see below), whose sum is σ = 292992000. Its totient is φ = 22581504.

The previous prime is 90419779. The next prime is 90419807. The reversal of 90419784 is 48791409.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40407 + ... + 42585.

It is an arithmetic number, because the mean of its divisors is an integer number (2289000).

Almost surely, 2^90419784 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 90419784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146496000).

90419784 is an abundant number, since it is smaller than the sum of its proper divisors (202572216).

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

90419784 is a wasteful number, since it uses less digits than its factorization.

90419784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 90419784 is about 9508.9318012067. The cubic root of 90419784 is about 448.8361430725.

The spelling of 90419784 in words is "ninety million, four hundred nineteen thousand, seven hundred eighty-four".