11506816 has 16 divisors (see below), whose sum is σ = 22923990. Its totient is φ = 5753344.

The previous prime is 11506813. The next prime is 11506849. The reversal of 11506816 is 61860511.

It can be written as a sum of positive squares in only one way, i.e., 11022400 + 484416 = 3320^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×11506816³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11506811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44821 + ... + 45076.

Almost surely, 2^11506816 is an apocalyptic number.

11506816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11506816 is a deficient number, since it is larger than the sum of its proper divisors (11417174).

11506816 is an frugal number, since it uses more digits than its factorization.

11506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89911 (or 89899 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 11506816 is about 3392.1698070704. The cubic root of 11506816 is about 225.7624569668.

The spelling of 11506816 in words is "eleven million, five hundred six thousand, eight hundred sixteen".