90801767 has 16 divisors (see below), whose sum is σ = 108007680. Its totient is φ = 74716992.

The previous prime is 90801761. The next prime is 90801803. The reversal of 90801767 is 76710809.

It is a happy number.

It is not a de Polignac number, because 90801767 - 2¹² = 90797671 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90801767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90801761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15203 + ... + 20315.

It is an arithmetic number, because the mean of its divisors is an integer number (6750480).

Almost surely, 2^90801767 is an apocalyptic number.

90801767 is a deficient number, since it is larger than the sum of its proper divisors (17205913).

90801767 is a wasteful number, since it uses less digits than its factorization.

90801767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 90801767 is about 9528.9961171154. The cubic root of 90801767 is about 449.4672988658.

The spelling of 90801767 in words is "ninety million, eight hundred one thousand, seven hundred sixty-seven".