90816384 has 64 divisors (see below), whose sum is σ = 244702080. Its totient is φ = 29836800.

The previous prime is 90816377. The next prime is 90816403. The reversal of 90816384 is 48361809.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×90816384³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25599 + ... + 28929.

It is an arithmetic number, because the mean of its divisors is an integer number (3823470).

Almost surely, 2^90816384 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 90816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122351040).

90816384 is an abundant number, since it is smaller than the sum of its proper divisors (153885696).

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

90816384 is a wasteful number, since it uses less digits than its factorization.

90816384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 90816384 is about 9529.7630610630. The cubic root of 90816384 is about 449.4914155441.

The spelling of 90816384 in words is "ninety million, eight hundred sixteen thousand, three hundred eighty-four".