10464 has 24 divisors (see below), whose sum is σ = 27720. Its totient is φ = 3456.

The previous prime is 10463. The next prime is 10477. The reversal of 10464 is 46401.

10464 = 30² + 31² + ... + 38².

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (1155).

2¹⁰⁴⁶⁴ 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 10464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860).

10464 is an abundant number, since it is smaller than the sum of its proper divisors (17256).

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

10464 is a wasteful number, since it uses less digits than its factorization.

10464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10464 is about 102.2936948204. The cubic root of 10464 is about 21.8725412202.

Adding to 10464 its reverse (46401), we get a palindrome (56865).

Subtracting 10464 from its reverse (46401), we obtain a cube (35937 = 33³).

It can be divided in two parts, 10 and 464, that added together give a palindrome (474).

The spelling of 10464 in words is "ten thousand, four hundred sixty-four".