11561000 has 64 divisors (see below), whose sum is σ = 29540160. Its totient is φ = 4200000.

The previous prime is 11560981. The next prime is 11561021. The reversal of 11561000 is 16511.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10475 + ... + 11525.

It is an arithmetic number, because the mean of its divisors is an integer number (461565).

Almost surely, 2^11561000 is an apocalyptic number.

11561000 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 11561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770080).

11561000 is an abundant number, since it is smaller than the sum of its proper divisors (17979160).

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

11561000 is a wasteful number, since it uses less digits than its factorization.

11561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 11561000 is about 3400.1470556433. The cubic root of 11561000 is about 226.1162635664.

Adding to 11561000 its reverse (16511), we get a palindrome (11577511).

The spelling of 11561000 in words is "eleven million, five hundred sixty-one thousand".