11772684 has 144 divisors (see below), whose sum is σ = 38578176. Its totient is φ = 2937600.

The previous prime is 11772613. The next prime is 11772689. The reversal of 11772684 is 48627711.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18816) is a multiple of the sum of its prime factors (196).

It is not an unprimeable number, because it can be changed into a prime (11772689) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 85864 + ... + 86000.

It is an arithmetic number, because the mean of its divisors is an integer number (267904).

Almost surely, 2^11772684 is an apocalyptic number.

11772684 is a gapful number since it is divisible by the number (14) 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 11772684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289088).

11772684 is an abundant number, since it is smaller than the sum of its proper divisors (26805492).

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

11772684 is a wasteful number, since it uses less digits than its factorization.

11772684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11772684 is about 3431.1345062530. The cubic root of 11772684 is about 227.4880016214.

The spelling of 11772684 in words is "eleven million, seven hundred seventy-two thousand, six hundred eighty-four".