11812164 has 96 divisors (see below), whose sum is σ = 35185920. Its totient is φ = 2999808.

The previous prime is 11812123. The next prime is 11812183. The reversal of 11812164 is 46121811.

11812164 = T₁₉₆ + T₁₉₇ + ... + T₄₂₇.

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 31 ways as a sum of consecutive naturals, for example, 31482 + ... + 31854.

It is an arithmetic number, because the mean of its divisors is an integer number (366520).

Almost surely, 2^11812164 is an apocalyptic number.

11812164 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 11812164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592960).

11812164 is an abundant number, since it is smaller than the sum of its proper divisors (23373756).

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

11812164 is a wasteful number, since it uses less digits than its factorization.

11812164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 11812164 is about 3436.8828900619. The cubic root of 11812164 is about 227.7420135180.

Adding to 11812164 its reverse (46121811), we get a palindrome (57933975).

It can be divided in two parts, 11 and 812164, that added together give a triangular number (812175 = T₁₂₇₄).

The spelling of 11812164 in words is "eleven million, eight hundred twelve thousand, one hundred sixty-four".