90334560 has 48 divisors (see below), whose sum is σ = 284555376. Its totient is φ = 24089088.

The previous prime is 90334553. The next prime is 90334561. The reversal of 90334560 is 6543309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90334561) 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 7 ways as a sum of consecutive naturals, for example, 93619 + ... + 94578.

It is an arithmetic number, because the mean of its divisors is an integer number (5928237).

Almost surely, 2^90334560 is an apocalyptic number.

It is an amenable number.

90334560 is an abundant number, since it is smaller than the sum of its proper divisors (194220816).

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

90334560 is a wasteful number, since it uses less digits than its factorization.

90334560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188215 (or 188207 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 90334560 is about 9504.4494843205. The cubic root of 90334560 is about 448.6950838414.

Adding to 90334560 its reverse (6543309), we get a palindrome (96877869).

The spelling of 90334560 in words is "ninety million, three hundred thirty-four thousand, five hundred sixty".