11265680 has 40 divisors (see below), whose sum is σ = 26696952. Its totient is φ = 4419584.

The previous prime is 11265671. The next prime is 11265701. The reversal of 11265680 is 8656211.

It is a happy number.

11265680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 8549776 = 1648^2 + 2924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×11265680³ (a number of 22 digits) contains 333 as substring.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2912 + ... + 5568.

Almost surely, 2^11265680 is an apocalyptic number.

11265680 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 11265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348476).

11265680 is an abundant number, since it is smaller than the sum of its proper divisors (15431272).

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

11265680 is a wasteful number, since it uses less digits than its factorization.

11265680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 11265680 is about 3356.4385887425. The cubic root of 11265680 is about 224.1742903730.

The spelling of 11265680 in words is "eleven million, two hundred sixty-five thousand, six hundred eighty".