10386640 has 120 divisors (see below), whose sum is σ = 28201320. Its totient is φ = 3548160.

The previous prime is 10386637. The next prime is 10386647. The reversal of 10386640 is 4668301.

It can be written as a sum of positive squares in 4 ways, for example, as 2944656 + 7441984 = 1716^2 + 2728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10386599 and 10386608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10386647) 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 23 ways as a sum of consecutive naturals, for example, 280702 + ... + 280738.

It is an arithmetic number, because the mean of its divisors is an integer number (235011).

Almost surely, 2^10386640 is an apocalyptic number.

10386640 is a gapful number since it is divisible by the number (10) 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 10386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100660).

10386640 is an abundant number, since it is smaller than the sum of its proper divisors (17814680).

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

10386640 is a wasteful number, since it uses less digits than its factorization.

10386640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10386640 is about 3222.8310535925. The cubic root of 10386640 is about 218.1850685543.

It can be divided in two parts, 10386 and 640, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10386640 in words is "ten million, three hundred eighty-six thousand, six hundred forty".