11296680 has 64 divisors (see below), whose sum is σ = 35372160. Its totient is φ = 2880768.

The previous prime is 11296673. The next prime is 11296801. The reversal of 11296680 is 8669211.

It is a super-2 number, since 2×11296680² = 255229958044800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 714 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (552690).

Almost surely, 2^11296680 is an apocalyptic number.

11296680 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 11296680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

11296680 is an abundant number, since it is smaller than the sum of its proper divisors (24075480).

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

11296680 is a wasteful number, since it uses less digits than its factorization.

11296680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 11296680 is about 3361.0534062999. The cubic root of 11296680 is about 224.3797237026.

The spelling of 11296680 in words is "eleven million, two hundred ninety-six thousand, six hundred eighty".