10812384 has 72 divisors (see below), whose sum is σ = 33552792. Its totient is φ = 3275520.

The previous prime is 10812341. The next prime is 10812401. The reversal of 10812384 is 48321801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 4874.

It is an arithmetic number, because the mean of its divisors is an integer number (466011).

Almost surely, 2^10812384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10812384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16776396).

10812384 is an abundant number, since it is smaller than the sum of its proper divisors (22740408).

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

10812384 is a wasteful number, since it uses less digits than its factorization.

10812384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10812384 is about 3288.2189708108. The cubic root of 10812384 is about 221.1263447685.

The spelling of 10812384 in words is "ten million, eight hundred twelve thousand, three hundred eighty-four".