90001560 has 128 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 21273600.

The previous prime is 90001559. The next prime is 90001567. The reversal of 90001560 is 6510009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90001567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53289 + ... + 54951.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^90001560 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 90001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

90001560 is an abundant number, since it is smaller than the sum of its proper divisors (211914600).

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

90001560 is a wasteful number, since it uses less digits than its factorization.

90001560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 90001560 is about 9486.9151993680. The cubic root of 90001560 is about 448.1430638968.

Adding to 90001560 its reverse (6510009), we get a palindrome (96511569).

The spelling of 90001560 in words is "ninety million, one thousand, five hundred sixty".