11721864 has 64 divisors (see below), whose sum is σ = 36541440. Its totient is φ = 3044160.

The previous prime is 11721839. The next prime is 11721869. The reversal of 11721864 is 46812711.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11721869) 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 15 ways as a sum of consecutive naturals, for example, 1324 + ... + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (570960).

Almost surely, 2^11721864 is an apocalyptic number.

11721864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11721864 is an abundant number, since it is smaller than the sum of its proper divisors (24819576).

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

11721864 is a wasteful number, since it uses less digits than its factorization.

11721864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6366 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 11721864 is about 3423.7207830079. The cubic root of 11721864 is about 227.1601914814.

The spelling of 11721864 in words is "eleven million, seven hundred twenty-one thousand, eight hundred sixty-four".