10464864 has 48 divisors (see below), whose sum is σ = 27897408. Its totient is φ = 3434112.

The previous prime is 10464863. The next prime is 10464869. The reversal of 10464864 is 46846401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5619 + ... + 7245.

It is an arithmetic number, because the mean of its divisors is an integer number (581196).

Almost surely, 2^10464864 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 10464864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948704).

10464864 is an abundant number, since it is smaller than the sum of its proper divisors (17432544).

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

10464864 is a wasteful number, since it uses less digits than its factorization.

10464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 10464864 is about 3234.9442035374. The cubic root of 10464864 is about 218.7314320022.

The spelling of 10464864 in words is "ten million, four hundred sixty-four thousand, eight hundred sixty-four".