10464384 has 128 divisors (see below), whose sum is σ = 33782400. Its totient is φ = 2801664.

The previous prime is 10464371. The next prime is 10464397. The reversal of 10464384 is 48346401.

It is an interprime number because it is at equal distance from previous prime (10464371) and next prime (10464397).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45582 + ... + 45810.

It is an arithmetic number, because the mean of its divisors is an integer number (263925).

Almost surely, 2^10464384 is an apocalyptic number.

10464384 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 10464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891200).

10464384 is an abundant number, since it is smaller than the sum of its proper divisors (23318016).

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

10464384 is a wasteful number, since it uses less digits than its factorization.

10464384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 10464384 is about 3234.8700128444. The cubic root of 10464384 is about 218.7280877099.

The spelling of 10464384 in words is "ten million, four hundred sixty-four thousand, three hundred eighty-four".