10364864 has 28 divisors (see below), whose sum is σ = 20866608. Its totient is φ = 5107200.

The previous prime is 10364857. The next prime is 10364867. The reversal of 10364864 is 46846301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10364864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364867) 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 3 ways as a sum of consecutive naturals, for example, 3404 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (745236).

Almost surely, 2^10364864 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 10364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433304).

10364864 is an abundant number, since it is smaller than the sum of its proper divisors (10501744).

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

10364864 is an equidigital number, since it uses as much as digits as its factorization.

10364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 10364864 is about 3219.4508848560. The cubic root of 10364864 is about 218.0324840071.

The spelling of 10364864 in words is "ten million, three hundred sixty-four thousand, eight hundred sixty-four".