10844400 has 120 divisors (see below), whose sum is σ = 39731584. Its totient is φ = 2476800.

The previous prime is 10844399. The next prime is 10844401. The reversal of 10844400 is 444801.

10844400 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10844399) and next prime (10844401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10844400² = 235202022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

10844400 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10844401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7755 + ... + 9045.

Almost surely, 2^10844400 is an apocalyptic number.

10844400 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 10844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865792).

10844400 is an abundant number, since it is smaller than the sum of its proper divisors (28887184).

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

10844400 is a wasteful number, since it uses less digits than its factorization.

10844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10844400 is about 3293.0836612513. The cubic root of 10844400 is about 221.3443850226.

The spelling of 10844400 in words is "ten million, eight hundred forty-four thousand, four hundred".