11267680 has 24 divisors (see below), whose sum is σ = 26620272. Its totient is φ = 4507008.

The previous prime is 11267621. The next prime is 11267681. The reversal of 11267680 is 8676211.

It is a super-2 number, since 2×11267680² = 253921225164800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11267681) 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 3 ways as a sum of consecutive naturals, for example, 35052 + ... + 35371.

It is an arithmetic number, because the mean of its divisors is an integer number (1109178).

Almost surely, 2^11267680 is an apocalyptic number.

11267680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11267680 is an abundant number, since it is smaller than the sum of its proper divisors (15352592).

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

11267680 is an equidigital number, since it uses as much as digits as its factorization.

11267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70438 (or 70430 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 11267680 is about 3356.7365103624. The cubic root of 11267680 is about 224.1875555007.

The spelling of 11267680 in words is "eleven million, two hundred sixty-seven thousand, six hundred eighty".