10840800 has 72 divisors (see below), whose sum is σ = 35294616. Its totient is φ = 2890240.

The previous prime is 10840799. The next prime is 10840807. The reversal of 10840800 is 804801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10840807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 4658.

It is an arithmetic number, because the mean of its divisors is an integer number (490203).

Almost surely, 2^10840800 is an apocalyptic number.

10840800 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 10840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647308).

10840800 is an abundant number, since it is smaller than the sum of its proper divisors (24453816).

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

10840800 is a wasteful number, since it uses less digits than its factorization.

10840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10840800 is about 3292.5370157373. The cubic root of 10840800 is about 221.3198891852.

The spelling of 10840800 in words is "ten million, eight hundred forty thousand, eight hundred".