10838607 has 16 divisors (see below), whose sum is σ = 16383360. Its totient is φ = 6318432.

The previous prime is 10838599. The next prime is 10838609. The reversal of 10838607 is 70683801.

10838607 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 10838607 - 2³ = 10838599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6573 + ... + 8054.

It is an arithmetic number, because the mean of its divisors is an integer number (1023960).

Almost surely, 2^10838607 is an apocalyptic number.

10838607 is a deficient number, since it is larger than the sum of its proper divisors (5544753).

10838607 is a wasteful number, since it uses less digits than its factorization.

10838607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14662.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10838607 is about 3292.2039730248. The cubic root of 10838607 is about 221.3049644795.

The spelling of 10838607 in words is "ten million, eight hundred thirty-eight thousand, six hundred seven".