10387638 has 24 divisors (see below), whose sum is σ = 22710168. Its totient is φ = 3431232.

The previous prime is 10387627. The next prime is 10387649. The reversal of 10387638 is 83678301.

10387638 is a `hidden beast` number, since 10 + 3 + 8 + 7 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (10387627) and next prime (10387649).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 520 + ... + 4587.

It is an arithmetic number, because the mean of its divisors is an integer number (946257).

Almost surely, 2^10387638 is an apocalyptic number.

10387638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10387638 is an abundant number, since it is smaller than the sum of its proper divisors (12322530).

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

10387638 is a wasteful number, since it uses less digits than its factorization.

10387638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10387638 is about 3222.9858826870. The cubic root of 10387638 is about 218.1920564324.

It can be divided in two parts, 10387 and 638, that added together give a square (11025 = 105²).

The spelling of 10387638 in words is "ten million, three hundred eighty-seven thousand, six hundred thirty-eight".