10816800 has 72 divisors (see below), whose sum is σ = 35216496. Its totient is φ = 2883840.

The previous prime is 10816787. The next prime is 10816847. The reversal of 10816800 is 861801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 4653.

It is an arithmetic number, because the mean of its divisors is an integer number (489118).

Almost surely, 2^10816800 is an apocalyptic number.

10816800 is a gapful number since it is divisible by the number (10) 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 10816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608248).

10816800 is an abundant number, since it is smaller than the sum of its proper divisors (24399696).

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

10816800 is a wasteful number, since it uses less digits than its factorization.

10816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 10816800 is about 3288.8903903900. The cubic root of 10816800 is about 221.1564448534.

The spelling of 10816800 in words is "ten million, eight hundred sixteen thousand, eight hundred".