10638687 has 8 divisors (see below), whose sum is σ = 14201136. Its totient is φ = 7084352.

The previous prime is 10638631. The next prime is 10638697. The reversal of 10638687 is 78683601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10638687 - 2¹⁵ = 10605919 is a prime.

It is a super-2 number, since 2×10638687² = 226363322167938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638697) 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 7 ways as a sum of consecutive naturals, for example, 2443 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (1775142).

Almost surely, 2^10638687 is an apocalyptic number.

10638687 is a deficient number, since it is larger than the sum of its proper divisors (3562449).

10638687 is a wasteful number, since it uses less digits than its factorization.

10638687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 10638687 is about 3261.7000168624. The cubic root of 10638687 is about 219.9358421732.

It can be divided in two parts, 10638 and 687, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 10638687 in words is "ten million, six hundred thirty-eight thousand, six hundred eighty-seven".