90766116 has 192 divisors, whose sum is σ = 290304000. Its totient is φ = 23950080.

The previous prime is 90766103. The next prime is 90766133. The reversal of 90766116 is 61166709.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1019800 + ... + 1019888.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^90766116 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 90766116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

90766116 is an abundant number, since it is smaller than the sum of its proper divisors (199537884).

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

90766116 is a wasteful number, since it uses less digits than its factorization.

90766116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90766116 is about 9527.1252747091. The cubic root of 90766116 is about 449.4084672051.

The spelling of 90766116 in words is "ninety million, seven hundred sixty-six thousand, one hundred sixteen".