90766013 has 12 divisors (see below), whose sum is σ = 99961920. Its totient is φ = 82354896.

The previous prime is 90765989. The next prime is 90766031. The reversal of 90766013 is 31066709.

It is not a de Polignac number, because 90766013 - 2¹⁴ = 90749629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90766063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5420 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (8330160).

Almost surely, 2^90766013 is an apocalyptic number.

It is an amenable number.

90766013 is a deficient number, since it is larger than the sum of its proper divisors (9195907).

90766013 is a wasteful number, since it uses less digits than its factorization.

90766013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 90766013 is about 9527.1198690895. The cubic root of 90766013 is about 449.4082972110.

The spelling of 90766013 in words is "ninety million, seven hundred sixty-six thousand, thirteen".