11291280 has 320 divisors, whose sum is σ = 47996928. Its totient is φ = 2119680.

The previous prime is 11291261. The next prime is 11291297. The reversal of 11291280 is 8219211.

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 11291280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240217 + ... + 240263.

Almost surely, 2^11291280 is an apocalyptic number.

11291280 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 11291280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

11291280 is an abundant number, since it is smaller than the sum of its proper divisors (36705648).

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

11291280 is a wasteful number, since it uses less digits than its factorization.

11291280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11291280 is about 3360.2499907001. The cubic root of 11291280 is about 224.3439655972.

The spelling of 11291280 in words is "eleven million, two hundred ninety-one thousand, two hundred eighty".