11264880 has 160 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 2560000.

The previous prime is 11264879. The next prime is 11264887. The reversal of 11264880 is 8846211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264887) 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 31 ways as a sum of consecutive naturals, for example, 44755 + ... + 45005.

Almost surely, 2^11264880 is an apocalyptic number.

11264880 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 11264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

11264880 is an abundant number, since it is smaller than the sum of its proper divisors (29232528).

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

11264880 is a wasteful number, since it uses less digits than its factorization.

11264880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

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

The square root of 11264880 is about 3356.3194126900. The cubic root of 11264880 is about 224.1689838824.

It can be divided in two parts, 1126 and 4880, that added together give a palindrome (6006).

The spelling of 11264880 in words is "eleven million, two hundred sixty-four thousand, eight hundred eighty".