11516280 has 64 divisors (see below), whose sum is σ = 36374400. Its totient is φ = 2908800.

The previous prime is 11516279. The next prime is 11516291. The reversal of 11516280 is 8261511.

11516280 = T₆₉ + T₇₀ + ... + T₄₁₀.

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 11516280.

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, 246 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (568350).

Almost surely, 2^11516280 is an apocalyptic number.

11516280 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 11516280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187200).

11516280 is an abundant number, since it is smaller than the sum of its proper divisors (24858120).

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

11516280 is a wasteful number, since it uses less digits than its factorization.

11516280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11516280 is about 3393.5644976927. The cubic root of 11516280 is about 225.8243342169.

Adding to 11516280 its reverse (8261511), we get a palindrome (19777791).

The spelling of 11516280 in words is "eleven million, five hundred sixteen thousand, two hundred eighty".