10940800 has 96 divisors (see below), whose sum is σ = 29216880. Its totient is φ = 4024320.

The previous prime is 10940731. The next prime is 10940803. The reversal of 10940800 is 804901.

It is a super-2 number, since 2×10940800² = 239402209280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10940803) 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, 41469 + ... + 41731.

Almost surely, 2^10940800 is an apocalyptic number.

10940800 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 10940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608440).

10940800 is an abundant number, since it is smaller than the sum of its proper divisors (18276080).

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

10940800 is a wasteful number, since it uses less digits than its factorization.

10940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10940800 is about 3307.6880143085. The cubic root of 10940800 is about 221.9983226343.

The spelling of 10940800 in words is "ten million, nine hundred forty thousand, eight hundred".