24080 has 40 divisors (see below), whose sum is σ = 65472. Its totient is φ = 8064.

The previous prime is 24077. The next prime is 24083. The reversal of 24080 is 8042.

24080 = T₄₉ + T₅₀ + ... + T₆₃.

It is an interprime number because it is at equal distance from previous prime (24077) and next prime (24083).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (24083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539 + ... + 581.

2²⁴⁰⁸⁰ is an apocalyptic number.

24080 is a gapful number since it is divisible by the number (20) 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 24080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736).

24080 is an abundant number, since it is smaller than the sum of its proper divisors (41392).

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

24080 is a wasteful number, since it uses less digits than its factorization.

24080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 24080 is about 155.1773179302. The cubic root of 24080 is about 28.8770058513.

The spelling of 24080 in words is "twenty-four thousand, eighty".