10838410 has 32 divisors (see below), whose sum is σ = 21866112. Its totient is φ = 3833280.

The previous prime is 10838407. The next prime is 10838413. The reversal of 10838410 is 1483801.

It is an interprime number because it is at equal distance from previous prime (10838407) and next prime (10838413).

It is a super-2 number, since 2×10838410² = 234942262656200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10838413) 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, 2739 + ... + 5401.

It is an arithmetic number, because the mean of its divisors is an integer number (683316).

Almost surely, 2^10838410 is an apocalyptic number.

10838410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10838410 is an abundant number, since it is smaller than the sum of its proper divisors (11027702).

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

10838410 is a wasteful number, since it uses less digits than its factorization.

10838410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10838410 is about 3292.1740537219. The cubic root of 10838410 is about 221.3036236755.

The spelling of 10838410 in words is "ten million, eight hundred thirty-eight thousand, four hundred ten".