11772816 has 60 divisors (see below), whose sum is σ = 33445776. Its totient is φ = 3565760.

The previous prime is 11772809. The next prime is 11772833. The reversal of 11772816 is 61827711.

11772816 = T₁₈₃ + T₁₈₄ + ... + T₄₂₄.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 11 ways as a sum of consecutive naturals, for example, 4795 + ... + 6821.

Almost surely, 2^11772816 is an apocalyptic number.

11772816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722888).

11772816 is an abundant number, since it is smaller than the sum of its proper divisors (21672960).

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

11772816 is a wasteful number, since it uses less digits than its factorization.

11772816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2043 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 11772816 is about 3431.1537418192. The cubic root of 11772816 is about 227.4888518467.

It can be divided in two parts, 1177 and 2816, that added together give a palindrome (3993).

The spelling of 11772816 in words is "eleven million, seven hundred seventy-two thousand, eight hundred sixteen".