10638735 has 32 divisors (see below), whose sum is σ = 17805312. Its totient is φ = 5418240.

The previous prime is 10638713. The next prime is 10638751. The reversal of 10638735 is 53783601.

It is a happy number.

10638735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10638735 - 2⁸ = 10638479 is a prime.

It is a super-2 number, since 2×10638735² = 226365364800450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10638696 and 10638705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63622 + ... + 63788.

It is an arithmetic number, because the mean of its divisors is an integer number (556416).

Almost surely, 2^10638735 is an apocalyptic number.

10638735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10638735 is a deficient number, since it is larger than the sum of its proper divisors (7166577).

10638735 is a wasteful number, since it uses less digits than its factorization.

10638735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 10638735 is about 3261.7073749802. The cubic root of 10638735 is about 219.9361729442.

The spelling of 10638735 in words is "ten million, six hundred thirty-eight thousand, seven hundred thirty-five".