24288240 has 80 divisors (see below), whose sum is σ = 79735968. Its totient is φ = 6094848.

The previous prime is 24288239. The next prime is 24288241. The reversal of 24288240 is 4288242.

It is an interprime number because it is at equal distance from previous prime (24288239) and next prime (24288241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24288198 and 24288207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24288241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104 + ... + 7056.

Almost surely, 2^24288240 is an apocalyptic number.

24288240 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 24288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39867984).

24288240 is an abundant number, since it is smaller than the sum of its proper divisors (55447728).

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

24288240 is a wasteful number, since it uses less digits than its factorization.

24288240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 24288240 is about 4928.3100551812. The cubic root of 24288240 is about 289.6000829238.

The spelling of 24288240 in words is "twenty-four million, two hundred eighty-eight thousand, two hundred forty".