90505768 has 32 divisors (see below), whose sum is σ = 174522600. Its totient is φ = 43982848.

The previous prime is 90505763. The next prime is 90505769. The reversal of 90505768 is 86750509.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60497284 + 30008484 = 7778^2 + 5478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90505768.

It is not an unprimeable number, because it can be changed into a prime (90505763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46968 + ... + 48856.

Almost surely, 2^90505768 is an apocalyptic number.

It is an amenable number.

90505768 is a deficient number, since it is larger than the sum of its proper divisors (84016832).

90505768 is a wasteful number, since it uses less digits than its factorization.

90505768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 90505768 is about 9513.4519497394. The cubic root of 90505768 is about 448.9783704278.

The spelling of 90505768 in words is "ninety million, five hundred five thousand, seven hundred sixty-eight".