66090816 has 280 divisors, whose sum is σ = 228660960. Its totient is φ = 18662400.

The previous prime is 66090763. The next prime is 66090821. The reversal of 66090816 is 61809066.

66090816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1083426 + ... + 1083486.

Almost surely, 2^66090816 is an apocalyptic number.

66090816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114330480).

66090816 is an abundant number, since it is smaller than the sum of its proper divisors (162570144).

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

66090816 is a wasteful number, since it uses less digits than its factorization.

66090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66090816 is about 8129.6258216476. The cubic root of 66090816 is about 404.3092753185.

The spelling of 66090816 in words is "sixty-six million, ninety thousand, eight hundred sixteen".