10800384 has 144 divisors (see below), whose sum is σ = 34339200. Its totient is φ = 3010560.

The previous prime is 10800373. The next prime is 10800397. The reversal of 10800384 is 48300801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263404 + ... + 263444.

Almost surely, 2^10800384 is an apocalyptic number.

10800384 is a gapful number since it is divisible by the number (14) 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 10800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169600).

10800384 is an abundant number, since it is smaller than the sum of its proper divisors (23538816).

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

10800384 is an frugal number, since it uses more digits than its factorization.

10800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10800384 is about 3286.3937682512. The cubic root of 10800384 is about 221.0445096431.

The spelling of 10800384 in words is "ten million, eight hundred thousand, three hundred eighty-four".