11011880 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 3861760.

The previous prime is 11011877. The next prime is 11011883. The reversal of 11011880 is 8811011.

It is an interprime number because it is at equal distance from previous prime (11011877) and next prime (11011883).

It is a super-2 number, since 2×11011880² = 242523002268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11011883) 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, 12329 + ... + 13191.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 2^11011880 is an apocalyptic number.

11011880 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 11011880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

11011880 is an abundant number, since it is smaller than the sum of its proper divisors (16981720).

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

11011880 is a wasteful number, since it uses less digits than its factorization.

11011880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 11011880 is about 3318.4152844392. The cubic root of 11011880 is about 222.4780435347.

Adding to 11011880 its reverse (8811011), we get a palindrome (19822891).

The spelling of 11011880 in words is "eleven million, eleven thousand, eight hundred eighty".