10387264 has 28 divisors (see below), whose sum is σ = 20815300. Its totient is φ = 5142528.

The previous prime is 10387261. The next prime is 10387291. The reversal of 10387264 is 46278301.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 5721664 = 2160^2 + 2392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6232 + ... + 7720.

Almost surely, 2^10387264 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 10387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407650).

10387264 is an abundant number, since it is smaller than the sum of its proper divisors (10428036).

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

10387264 is a wasteful number, since it uses less digits than its factorization.

10387264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 10387264 is about 3222.9278614328. The cubic root of 10387264 is about 218.1894377810.

The spelling of 10387264 in words is "ten million, three hundred eighty-seven thousand, two hundred sixty-four".