12492864 has 126 divisors (see below), whose sum is σ = 38346126. Its totient is φ = 3886080.

The previous prime is 12492859. The next prime is 12492869. The reversal of 12492864 is 46829421.

It is an interprime number because it is at equal distance from previous prime (12492859) and next prime (12492869).

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 4875264 = 2760^2 + 2208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12492869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 304684 + ... + 304724.

It is a vampire number, since it can be written as 2829 ⋅ 4416 (with its own digits).

Almost surely, 2^12492864 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 12492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19173063).

12492864 is an abundant number, since it is smaller than the sum of its proper divisors (25853262).

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

12492864 is a wasteful number, since it uses less digits than its factorization.

12492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12492864 is about 3534.5245790629. The cubic root of 12492864 is about 232.0352701035.

The spelling of 12492864 in words is "twelve million, four hundred ninety-two thousand, eight hundred sixty-four".