64824 has 32 divisors (see below), whose sum is σ = 168720. Its totient is φ = 20736.

The previous prime is 64817. The next prime is 64849. The reversal of 64824 is 42846.

64824 = T₁ + T₂ + ... + T₇₂.

64824 is a nontrivial binomial coefficient, being equal to C(74, 3).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64794 and 64803.

It is a congruent number.

It is an unprimeable number.

64824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 72-nd tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852 + ... + 924.

2⁶⁴⁸²⁴ 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 64824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84360).

64824 is an abundant number, since it is smaller than the sum of its proper divisors (103896).

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

64824 is a wasteful number, since it uses less digits than its factorization.

64824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 64824 is about 254.6055773152. The cubic root of 64824 is about 40.1709351555.

64824 divided by its sum of digits (24) gives a triangular number (2701 = T₇₃).

It can be divided in two parts, 64 and 824, that added together give a palindrome (888).

The spelling of 64824 in words is "sixty-four thousand, eight hundred twenty-four".