90816336 has 160 divisors (see below), whose sum is σ = 285259520. Its totient is φ = 27495936.

The previous prime is 90816317. The next prime is 90816367. The reversal of 90816336 is 63361809.

It is a happy number.

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 90816336.

It is a congruent number.

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, 578370 + ... + 578526.

It is an arithmetic number, because the mean of its divisors is an integer number (1782872).

Almost surely, 2^90816336 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 90816336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142629760).

90816336 is an abundant number, since it is smaller than the sum of its proper divisors (194443184).

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

90816336 is a wasteful number, since it uses less digits than its factorization.

90816336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90816336 is about 9529.7605426369. The cubic root of 90816336 is about 449.4913363529.

The spelling of 90816336 in words is "ninety million, eight hundred sixteen thousand, three hundred thirty-six".