24789240 has 160 divisors (see below), whose sum is σ = 95309280. Its totient is φ = 5660928.

The previous prime is 24789227. The next prime is 24789251. The reversal of 24789240 is 4298742.

It is a super-2 number, since 2×24789240² = 1229012839555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24789195 and 24789204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22134 + ... + 23226.

It is an arithmetic number, because the mean of its divisors is an integer number (595683).

Almost surely, 2^24789240 is an apocalyptic number.

24789240 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 24789240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47654640).

24789240 is an abundant number, since it is smaller than the sum of its proper divisors (70520040).

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

24789240 is a wasteful number, since it uses less digits than its factorization.

24789240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 24789240 is about 4978.8793919917. The cubic root of 24789240 is about 291.5777659215.

The spelling of 24789240 in words is "twenty-four million, seven hundred eighty-nine thousand, two hundred forty".