24064 has 20 divisors (see below), whose sum is σ = 49104. Its totient is φ = 11776.

The previous prime is 24061. The next prime is 24071. The reversal of 24064 is 46042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24061) 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 as a sum of consecutive naturals, namely, 489 + ... + 535.

2²⁴⁰⁶⁴ 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 24064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552).

24064 is an abundant number, since it is smaller than the sum of its proper divisors (25040).

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

24064 is an frugal number, since it uses more digits than its factorization.

24064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 24064 is about 155.1257554373. The cubic root of 24064 is about 28.8706086411.

It can be divided in two parts, 2 and 4064, that multiplied together give a triangular number (8128 = T₁₂₇).

The spelling of 24064 in words is "twenty-four thousand, sixty-four".