64704 has 28 divisors (see below), whose sum is σ = 171704. Its totient is φ = 21504.

The previous prime is 64693. The next prime is 64709. The reversal of 64704 is 40746.

64704 = T₉ + T₁₀ + ... + T₇₂.

64704 is nontrivially palindromic in base 5.

64704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (64709) by changing a digit.

64704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24 + ... + 360.

2⁶⁴⁷⁰⁴ is an apocalyptic number.

64704 is a gapful number since it is divisible by the number (64) 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 64704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85852).

64704 is an abundant number, since it is smaller than the sum of its proper divisors (107000).

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

64704 is a wasteful number, since it uses less digits than its factorization.

64704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 64704 is about 254.3698095294. The cubic root of 64704 is about 40.1461321514.

It can be divided in two parts, 6 and 4704, that multiplied together give a square (28224 = 168²).

The spelling of 64704 in words is "sixty-four thousand, seven hundred four".