11857664 has 72 divisors (see below), whose sum is σ = 29188320. Its totient is φ = 4681728.

The previous prime is 11857661. The next prime is 11857667. The reversal of 11857664 is 46675811.

It is an interprime number because it is at equal distance from previous prime (11857661) and next prime (11857667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11857661) 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 7 ways as a sum of consecutive naturals, for example, 23042 + ... + 23550.

Almost surely, 2^11857664 is an apocalyptic number.

11857664 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 11857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594160).

11857664 is an abundant number, since it is smaller than the sum of its proper divisors (17330656).

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

11857664 is an equidigital number, since it uses as much as digits as its factorization.

11857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 11857664 is about 3443.4958980664. The cubic root of 11857664 is about 228.0340566752.

It can be divided in two parts, 11857 and 664, that added together give a palindrome (12521).

The spelling of 11857664 in words is "eleven million, eight hundred fifty-seven thousand, six hundred sixty-four".