11406880 has 24 divisors (see below), whose sum is σ = 26949132. Its totient is φ = 4562688.

The previous prime is 11406869. The next prime is 11406887. The reversal of 11406880 is 8860411.

It can be written as a sum of positive squares in 2 ways, for example, as 10316944 + 1089936 = 3212^2 + 1044^2 .

It is a super-2 number, since 2×11406880² = 260233822668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11406887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35487 + ... + 35806.

Almost surely, 2^11406880 is an apocalyptic number.

11406880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11406880 is an abundant number, since it is smaller than the sum of its proper divisors (15542252).

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

11406880 is an equidigital number, since it uses as much as digits as its factorization.

11406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71308 (or 71300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11406880 is about 3377.4072896232. The cubic root of 11406880 is about 225.1069779351.

The spelling of 11406880 in words is "eleven million, four hundred six thousand, eight hundred eighty".