10844064 has 192 divisors, whose sum is σ = 39674880. Its totient is φ = 2799360.

The previous prime is 10844059. The next prime is 10844087. The reversal of 10844064 is 46044801.

10844064 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

10844064 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66447 + ... + 66609.

It is an arithmetic number, because the mean of its divisors is an integer number (206640).

Almost surely, 2^10844064 is an apocalyptic number.

10844064 is a gapful number since it is divisible by the number (14) 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 10844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

10844064 is an abundant number, since it is smaller than the sum of its proper divisors (28830816).

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

10844064 is a wasteful number, since it uses less digits than its factorization.

10844064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10844064 is about 3293.0326448427. The cubic root of 10844064 is about 221.3420989738.

Adding to 10844064 its reverse (46044801), we get a palindrome (56888865).

The spelling of 10844064 in words is "ten million, eight hundred forty-four thousand, sixty-four".