10838016 has 168 divisors, whose sum is σ = 37353240. Its totient is φ = 3096576.

The previous prime is 10837973. The next prime is 10838017. The reversal of 10838016 is 61083801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1548285 + ... + 1548291.

Almost surely, 2^10838016 is an apocalyptic number.

10838016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676620).

10838016 is an abundant number, since it is smaller than the sum of its proper divisors (26515224).

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

10838016 is an frugal number, since it uses more digits than its factorization.

10838016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10838016 is about 3292.1142143006. The cubic root of 10838016 is about 221.3009420188.

The spelling of 10838016 in words is "ten million, eight hundred thirty-eight thousand, sixteen".