10644000 has 96 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 2835200.

The previous prime is 10643981. The next prime is 10644001. The reversal of 10644000 is 44601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10644000² = 226589472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10644001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11557 + ... + 12443.

It is an arithmetic number, because the mean of its divisors is an integer number (363636).

Almost surely, 2^10644000 is an apocalyptic number.

10644000 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 10644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528).

10644000 is an abundant number, since it is smaller than the sum of its proper divisors (24265056).

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

10644000 is an equidigital number, since it uses as much as digits as its factorization.

10644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10644000 is about 3262.5143677845. The cubic root of 10644000 is about 219.9724483404.

Adding to 10644000 its reverse (44601), we get a palindrome (10688601).

The spelling of 10644000 in words is "ten million, six hundred forty-four thousand".