10838970 has 48 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 2853600.

The previous prime is 10838959. The next prime is 10838981. The reversal of 10838970 is 7983801.

It is an interprime number because it is at equal distance from previous prime (10838959) and next prime (10838981).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6745 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 2^10838970 is an apocalyptic number.

10838970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).

10838970 is an abundant number, since it is smaller than the sum of its proper divisors (17701542).

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

10838970 is a wasteful number, since it uses less digits than its factorization.

10838970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10838970 is about 3292.2591028046. The cubic root of 10838970 is about 221.3074350554.

The spelling of 10838970 in words is "ten million, eight hundred thirty-eight thousand, nine hundred seventy".