10044000 has 240 divisors, whose sum is σ = 38054016. Its totient is φ = 2592000.

The previous prime is 10043993. The next prime is 10044007. The reversal of 10044000 is 44001.

It is an interprime number because it is at equal distance from previous prime (10043993) and next prime (10044007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323985 + ... + 324015.

Almost surely, 2^10044000 is an apocalyptic number.

10044000 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 10044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027008).

10044000 is an abundant number, since it is smaller than the sum of its proper divisors (28010016).

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

10044000 is an equidigital number, since it uses as much as digits as its factorization.

10044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10044000 is about 3169.2270350986. The cubic root of 10044000 is about 215.7589904444.

Adding to 10044000 its reverse (44001), we get a palindrome (10088001).

Subtracting from 10044000 its reverse (44001), we obtain a palindrome (9999999).

It can be divided in two parts, 100 and 44000, that added together give a square (44100 = 210²).

The spelling of 10044000 in words is "ten million, forty-four thousand".