90645360 has 160 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 20987904.

The previous prime is 90645349. The next prime is 90645391. The reversal of 90645360 is 6354609.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 52186 + ... + 53894.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 2^90645360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

90645360 is an abundant number, since it is smaller than the sum of its proper divisors (229959120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90645360 is a wasteful number, since it uses less digits than its factorization.

90645360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 90645360 is about 9520.7856818647. The cubic root of 90645360 is about 449.2090798286.

Adding to 90645360 its reverse (6354609), we get a palindrome (96999969).

The spelling of 90645360 in words is "ninety million, six hundred forty-five thousand, three hundred sixty".