11284880 has 20 divisors (see below), whose sum is σ = 26237532. Its totient is φ = 4513920.

The previous prime is 11284829. The next prime is 11284907. The reversal of 11284880 is 8848211.

It can be written as a sum of positive squares in 2 ways, for example, as 7139584 + 4145296 = 2672^2 + 2036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11284880² = 254697033228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70451 + ... + 70610.

Almost surely, 2^11284880 is an apocalyptic number.

11284880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11284880 is an abundant number, since it is smaller than the sum of its proper divisors (14952652).

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

11284880 is a wasteful number, since it uses less digits than its factorization.

11284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141074 (or 141068 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 11284880 is about 3359.2975456187. The cubic root of 11284880 is about 224.3015708542.

The spelling of 11284880 in words is "eleven million, two hundred eighty-four thousand, eight hundred eighty".