11312080 has 80 divisors (see below), whose sum is σ = 28904400. Its totient is φ = 4091904.

The previous prime is 11312071. The next prime is 11312099. The reversal of 11312080 is 8021311.

11312080 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 8 ways, for example, as 2143296 + 9168784 = 1464^2 + 3028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75846 + ... + 75994.

It is an arithmetic number, because the mean of its divisors is an integer number (361305).

Almost surely, 2^11312080 is an apocalyptic number.

11312080 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 11312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14452200).

11312080 is an abundant number, since it is smaller than the sum of its proper divisors (17592320).

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

11312080 is a wasteful number, since it uses less digits than its factorization.

11312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11312080 is about 3363.3435744806. The cubic root of 11312080 is about 224.4816379742.

Adding to 11312080 its reverse (8021311), we get a palindrome (19333391).

The spelling of 11312080 in words is "eleven million, three hundred twelve thousand, eighty".