90777661 has 8 divisors (see below), whose sum is σ = 98190680. Its totient is φ = 83426112.

The previous prime is 90777653. The next prime is 90777721. The reversal of 90777661 is 16677709.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3261636 + 87516025 = 1806^2 + 9355^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90777661 - 2³ = 90777653 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 (90777961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12270 + ... + 18223.

It is an arithmetic number, because the mean of its divisors is an integer number (12273835).

Almost surely, 2^90777661 is an apocalyptic number.

It is an amenable number.

90777661 is a deficient number, since it is larger than the sum of its proper divisors (7413019).

90777661 is a wasteful number, since it uses less digits than its factorization.

90777661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30735.

The product of its (nonzero) digits is 111132, while the sum is 43.

The square root of 90777661 is about 9527.7311569964. The cubic root of 90777661 is about 449.4275205736.

The spelling of 90777661 in words is "ninety million, seven hundred seventy-seven thousand, six hundred sixty-one".