11286480 has 160 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 2764800.

The previous prime is 11286479. The next prime is 11286497. The reversal of 11286480 is 8468211.

11286480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11286480 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275260 + ... + 275300.

Almost surely, 2^11286480 is an apocalyptic number.

11286480 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 11286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

11286480 is an abundant number, since it is smaller than the sum of its proper divisors (26711088).

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

11286480 is a wasteful number, since it uses less digits than its factorization.

11286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11286480 is about 3359.5356822037. The cubic root of 11286480 is about 224.3121710424.

The spelling of 11286480 in words is "eleven million, two hundred eighty-six thousand, four hundred eighty".