11162880 has 288 divisors, whose sum is σ = 44150400. Its totient is φ = 2654208.

The previous prime is 11162873. The next prime is 11162881. The reversal of 11162880 is 8826111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11162881) 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, 587511 + ... + 587529.

It is an arithmetic number, because the mean of its divisors is an integer number (153300).

Almost surely, 2^11162880 is an apocalyptic number.

11162880 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 11162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075200).

11162880 is an abundant number, since it is smaller than the sum of its proper divisors (32987520).

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

11162880 is a wasteful number, since it uses less digits than its factorization.

11162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11162880 is about 3341.0896426166. The cubic root of 11162880 is about 223.4903378554.

11162880 divided by its product of nonzero digits (768) gives a triangular number (14535 = T₁₇₀).

Adding to 11162880 its reverse (8826111), we get a palindrome (19988991).

The spelling of 11162880 in words is "eleven million, one hundred sixty-two thousand, eight hundred eighty".