90034560 has 576 divisors, whose sum is σ = 408142800. Its totient is φ = 18063360.

The previous prime is 90034519. The next prime is 90034573. The reversal of 90034560 is 6543009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104626 + ... + 3104654.

Almost surely, 2^90034560 is an apocalyptic number.

90034560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204071400).

90034560 is an abundant number, since it is smaller than the sum of its proper divisors (318108240).

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

90034560 is a wasteful number, since it uses less digits than its factorization.

90034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90034560 is about 9488.6542776097. The cubic root of 90034560 is about 448.1978292957.

Adding to 90034560 its reverse (6543009), we get a palindrome (96577569).

The spelling of 90034560 in words is "ninety million, thirty-four thousand, five hundred sixty".