11790816 has 48 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 3906944.

The previous prime is 11790803. The next prime is 11790833. The reversal of 11790816 is 61809711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 25015 + ... + 25481.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 2^11790816 is an apocalyptic number.

11790816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11790816 is an abundant number, since it is smaller than the sum of its proper divisors (19344288).

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

11790816 is a wasteful number, since it uses less digits than its factorization.

11790816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 11790816 is about 3433.7757643737. The cubic root of 11790816 is about 227.6047321990.

The spelling of 11790816 in words is "eleven million, seven hundred ninety thousand, eight hundred sixteen".