10816848 has 160 divisors (see below), whose sum is σ = 36704000. Its totient is φ = 3048192.

The previous prime is 10816847. The next prime is 10816849. The reversal of 10816848 is 84861801.

It is an interprime number because it is at equal distance from previous prime (10816847) and next prime (10816849).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10816847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148140 + ... + 148212.

It is an arithmetic number, because the mean of its divisors is an integer number (229400).

Almost surely, 2^10816848 is an apocalyptic number.

10816848 is a gapful number since it is divisible by the number (18) 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 10816848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352000).

10816848 is an abundant number, since it is smaller than the sum of its proper divisors (25887152).

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

10816848 is an equidigital number, since it uses as much as digits as its factorization.

10816848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10816848 is about 3288.8976876759. The cubic root of 10816848 is about 221.1567719832.

It can be divided in two parts, 10816 and 848, that added together give a square (11664 = 108²).

The spelling of 10816848 in words is "ten million, eight hundred sixteen thousand, eight hundred forty-eight".