12057864 has 64 divisors (see below), whose sum is σ = 37107840. Its totient is φ = 3179520.

The previous prime is 12057847. The next prime is 12057869. The reversal of 12057864 is 46875021.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577 + ... + 4944.

It is an arithmetic number, because the mean of its divisors is an integer number (579810).

Almost surely, 2^12057864 is an apocalyptic number.

12057864 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 12057864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553920).

12057864 is an abundant number, since it is smaller than the sum of its proper divisors (25049976).

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

12057864 is a wasteful number, since it uses less digits than its factorization.

12057864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12057864 is about 3472.4435200590. The cubic root of 12057864 is about 229.3102460834.

It can be divided in two parts, 12057 and 864, that added together give a palindrome (12921).

The spelling of 12057864 in words is "twelve million, fifty-seven thousand, eight hundred sixty-four".