11278080 has 216 divisors, whose sum is σ = 43046640. Its totient is φ = 2703360.

The previous prime is 11278067. The next prime is 11278097. The reversal of 11278080 is 8087211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126676 + ... + 126764.

It is an arithmetic number, because the mean of its divisors is an integer number (199290).

Almost surely, 2^11278080 is an apocalyptic number.

11278080 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 11278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523320).

11278080 is an abundant number, since it is smaller than the sum of its proper divisors (31768560).

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

11278080 is a wasteful number, since it uses less digits than its factorization.

11278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11278080 is about 3358.2852767447. The cubic root of 11278080 is about 224.2565088732.

The spelling of 11278080 in words is "eleven million, two hundred seventy-eight thousand, eighty".