10838688 has 72 divisors (see below), whose sum is σ = 32774112. Its totient is φ = 3072384.

The previous prime is 10838671. The next prime is 10838689. The reversal of 10838688 is 88683801.

It is a happy number.

It is a super-2 number, since 2×10838688² = 234954315122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10838689) 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, 85281 + ... + 85407.

It is an arithmetic number, because the mean of its divisors is an integer number (455196).

Almost surely, 2^10838688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387056).

10838688 is an abundant number, since it is smaller than the sum of its proper divisors (21935424).

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

10838688 is an equidigital number, since it uses as much as digits as its factorization.

10838688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 10838688 is about 3292.2162747912. The cubic root of 10838688 is about 221.3055157698.

Multiplying 10838688 by its sum of digits (42), we get a square (455224896 = 21336²).

10838688 divided by its sum of digits (42) gives a square (258064 = 508²).

The spelling of 10838688 in words is "ten million, eight hundred thirty-eight thousand, six hundred eighty-eight".