11146560 has 112 divisors (see below), whose sum is σ = 37526976. Its totient is φ = 2793472.

The previous prime is 11146537. The next prime is 11146571. The reversal of 11146560 is 6564111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11146560.

It is a congruent number.

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, 15979 + ... + 16661.

Almost surely, 2^11146560 is an apocalyptic number.

11146560 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 11146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763488).

11146560 is an abundant number, since it is smaller than the sum of its proper divisors (26380416).

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

11146560 is a wasteful number, since it uses less digits than its factorization.

11146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11146560 is about 3338.6464323136. The cubic root of 11146560 is about 223.3813713155.

The spelling of 11146560 in words is "eleven million, one hundred forty-six thousand, five hundred sixty".