10764 has 36 divisors (see below), whose sum is σ = 30576. Its totient is φ = 3168.

The previous prime is 10753. The next prime is 10771. The reversal of 10764 is 46701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

10764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 457 + ... + 479.

2¹⁰⁷⁶⁴ 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 10764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288).

10764 is an abundant number, since it is smaller than the sum of its proper divisors (19812).

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

10764 is a wasteful number, since it uses less digits than its factorization.

10764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10764 is about 103.7496987947. The cubic root of 10764 is about 22.0796014421.

Subtracting 10764 from its reverse (46701), we obtain a cube (35937 = 33³).

It can be divided in two parts, 107 and 64, that added together give a palindrome (171).

The spelling of 10764 in words is "ten thousand, seven hundred sixty-four".