11406816 has 36 divisors (see below), whose sum is σ = 32438952. Its totient is φ = 3802176.

The previous prime is 11406809. The next prime is 11406823. The reversal of 11406816 is 61860411.

It is an interprime number because it is at equal distance from previous prime (11406809) and next prime (11406823).

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11406816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19516 + ... + 20091.

It is an arithmetic number, because the mean of its divisors is an integer number (901082).

Almost surely, 2^11406816 is an apocalyptic number.

11406816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11406816 is an abundant number, since it is smaller than the sum of its proper divisors (21032136).

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

11406816 is a wasteful number, since it uses less digits than its factorization.

11406816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39623 (or 39612 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11406816 is about 3377.3978148865. The cubic root of 11406816 is about 225.1065569355.

The spelling of 11406816 in words is "eleven million, four hundred six thousand, eight hundred sixteen".