10040800 has 144 divisors (see below), whose sum is σ = 30748032. Its totient is φ = 3110400.

The previous prime is 10040791. The next prime is 10040809. The reversal of 10040800 is 804001.

It is an interprime number because it is at equal distance from previous prime (10040791) and next prime (10040809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040809) 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 23 ways as a sum of consecutive naturals, for example, 61519 + ... + 61681.

It is an arithmetic number, because the mean of its divisors is an integer number (213528).

Almost surely, 2^10040800 is an apocalyptic number.

10040800 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 10040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374016).

10040800 is an abundant number, since it is smaller than the sum of its proper divisors (20707232).

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

10040800 is a wasteful number, since it uses less digits than its factorization.

10040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10040800 is about 3168.7221399170. The cubic root of 10040800 is about 215.7360745376.

Adding to 10040800 its reverse (804001), we get a palindrome (10844801).

The spelling of 10040800 in words is "ten million, forty thousand, eight hundred".