90362385 has 40 divisors (see below), whose sum is σ = 170522880. Its totient is φ = 45652896.

The previous prime is 90362383. The next prime is 90362471. The reversal of 90362385 is 58326309.

It is not a de Polignac number, because 90362385 - 2¹ = 90362383 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90362381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1824 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (4263072).

Almost surely, 2^90362385 is an apocalyptic number.

90362385 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90362385 is a deficient number, since it is larger than the sum of its proper divisors (80160495).

90362385 is a wasteful number, since it uses less digits than its factorization.

90362385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779 (or 11770 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 90362385 is about 9505.9131597127. The cubic root of 90362385 is about 448.7411483785.

The spelling of 90362385 in words is "ninety million, three hundred sixty-two thousand, three hundred eighty-five".