11772864 has 84 divisors (see below), whose sum is σ = 35040824. Its totient is φ = 3919104.

The previous prime is 11772847. The next prime is 11772899. The reversal of 11772864 is 46827711.

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 (784).

It is a congruent number.

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, 15174 + ... + 15930.

Almost surely, 2^11772864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520412).

11772864 is an abundant number, since it is smaller than the sum of its proper divisors (23267960).

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

11772864 is an frugal number, since it uses more digits than its factorization.

11772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 762 counting only the distinct ones).

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

The square root of 11772864 is about 3431.1607365438. The cubic root of 11772864 is about 227.4891610180.

The spelling of 11772864 in words is "eleven million, seven hundred seventy-two thousand, eight hundred sixty-four".