90585635 has 32 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 58440960.

The previous prime is 90585631. The next prime is 90585637. The reversal of 90585635 is 53658509.

It is not a de Polignac number, because 90585635 - 2² = 90585631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90585592 and 90585601.

It is not an unprimeable number, because it can be changed into a prime (90585631) 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 31 ways as a sum of consecutive naturals, for example, 118655 + ... + 119415.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^90585635 is an apocalyptic number.

90585635 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90585635 is a deficient number, since it is larger than the sum of its proper divisors (41087965).

90585635 is a wasteful number, since it uses less digits than its factorization.

90585635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 90585635 is about 9517.6486066675. The cubic root of 90585635 is about 449.1103988928.

The spelling of 90585635 in words is "ninety million, five hundred eighty-five thousand, six hundred thirty-five".