90540585 has 48 divisors (see below), whose sum is σ = 166630464. Its totient is φ = 47138112.

The previous prime is 90540547. The next prime is 90540607. The reversal of 90540585 is 58504509.

It is a happy number.

It is not a de Polignac number, because 90540585 - 2¹² = 90536489 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51379 + ... + 53111.

It is an arithmetic number, because the mean of its divisors is an integer number (3471468).

Almost surely, 2^90540585 is an apocalyptic number.

It is an amenable number.

90540585 is a deficient number, since it is larger than the sum of its proper divisors (76089879).

90540585 is a wasteful number, since it uses less digits than its factorization.

90540585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 90540585 is about 9515.2816563673. The cubic root of 90540585 is about 449.0359360989.

It can be divided in two parts, 90540 and 585, that added together give a cube (91125 = 45³).

The spelling of 90540585 in words is "ninety million, five hundred forty thousand, five hundred eighty-five".