10638306 has 24 divisors (see below), whose sum is σ = 26342784. Its totient is φ = 3039480.

The previous prime is 10638283. The next prime is 10638307. The reversal of 10638306 is 60383601.

It is a super-2 number, since 2×10638306² = 226347109099272, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10638306.

It is not an unprimeable number, because it can be changed into a prime (10638307) 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 11 ways as a sum of consecutive naturals, for example, 42090 + ... + 42341.

It is an arithmetic number, because the mean of its divisors is an integer number (1097616).

Almost surely, 2^10638306 is an apocalyptic number.

10638306 is an abundant number, since it is smaller than the sum of its proper divisors (15704478).

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

10638306 is a wasteful number, since it uses less digits than its factorization.

10638306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84446 (or 84443 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10638306 is about 3261.6416112136. The cubic root of 10638306 is about 219.9332166438.

The spelling of 10638306 in words is "ten million, six hundred thirty-eight thousand, three hundred six".