11085580 has 48 divisors (see below), whose sum is σ = 26036640. Its totient is φ = 3929600.

The previous prime is 11085577. The next prime is 11085587. The reversal of 11085580 is 8558011.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8406 + ... + 9634.

It is an arithmetic number, because the mean of its divisors is an integer number (542430).

Almost surely, 2^11085580 is an apocalyptic number.

11085580 is a gapful number since it is divisible by the number (10) 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 11085580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018320).

11085580 is an abundant number, since it is smaller than the sum of its proper divisors (14951060).

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

11085580 is a wasteful number, since it uses less digits than its factorization.

11085580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 11085580 is about 3329.5014641835. The cubic root of 11085580 is about 222.9732719479.

The spelling of 11085580 in words is "eleven million, eighty-five thousand, five hundred eighty".