90816804 has 72 divisors (see below), whose sum is σ = 253306872. Its totient is φ = 27256320.

The previous prime is 90816799. The next prime is 90816853. The reversal of 90816804 is 40861809.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 84824100 = 2448^2 + 9210^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16822 + ... + 21554.

It is an arithmetic number, because the mean of its divisors is an integer number (3518151).

Almost surely, 2^90816804 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 90816804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126653436).

90816804 is an abundant number, since it is smaller than the sum of its proper divisors (162490068).

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

90816804 is a wasteful number, since it uses less digits than its factorization.

90816804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90816804 is about 9529.7850972622. The cubic root of 90816804 is about 449.4921084665.

The spelling of 90816804 in words is "ninety million, eight hundred sixteen thousand, eight hundred four".