11265480 has 192 divisors, whose sum is σ = 40622400. Its totient is φ = 2799360.

The previous prime is 11265473. The next prime is 11265487. The reversal of 11265480 is 8456211.

11265480 is a `hidden beast` number, since 1 + 1 + 2 + 654 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11265473) and next prime (11265487).

It is a super-2 number, since 2×11265480² = 253822079260800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11265487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184650 + ... + 184710.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 2^11265480 is an apocalyptic number.

11265480 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 11265480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

11265480 is an abundant number, since it is smaller than the sum of its proper divisors (29356920).

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

11265480 is a wasteful number, since it uses less digits than its factorization.

11265480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11265480 is about 3356.4087951261. The cubic root of 11265480 is about 224.1729637739.

The spelling of 11265480 in words is "eleven million, two hundred sixty-five thousand, four hundred eighty".