11276480 has 56 divisors (see below), whose sum is σ = 27157680. Its totient is φ = 4459520.

The previous prime is 11276479. The next prime is 11276513. The reversal of 11276480 is 8467211.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41786 + ... + 42054.

Almost surely, 2^11276480 is an apocalyptic number.

11276480 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 11276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578840).

11276480 is an abundant number, since it is smaller than the sum of its proper divisors (15881200).

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

11276480 is a wasteful number, since it uses less digits than its factorization.

11276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11276480 is about 3358.0470514869. The cubic root of 11276480 is about 224.2459034220.

The spelling of 11276480 in words is "eleven million, two hundred seventy-six thousand, four hundred eighty".