24873840 has 120 divisors (see below), whose sum is σ = 84436560. Its totient is φ = 6561792.

The previous prime is 24873803. The next prime is 24873841. The reversal of 24873840 is 4837842.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 24873795 and 24873804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24873841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128784 + ... + 128976.

It is an arithmetic number, because the mean of its divisors is an integer number (703638).

Almost surely, 2^24873840 is an apocalyptic number.

24873840 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 24873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42218280).

24873840 is an abundant number, since it is smaller than the sum of its proper divisors (59562720).

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

24873840 is a wasteful number, since it uses less digits than its factorization.

24873840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 24873840 is about 4987.3680433672. The cubic root of 24873840 is about 291.9090853514.

It can be divided in two parts, 248 and 73840, that added together give a cube (74088 = 42³).

The spelling of 24873840 in words is "twenty-four million, eight hundred seventy-three thousand, eight hundred forty".