24679680 has 72 divisors (see below), whose sum is σ = 78832992. Its totient is φ = 6580224.

The previous prime is 24679673. The next prime is 24679687. The reversal of 24679680 is 8697642.

It is an interprime number because it is at equal distance from previous prime (24679673) and next prime (24679687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24679687) 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, 627 + ... + 7053.

Almost surely, 2^24679680 is an apocalyptic number.

24679680 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 24679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39416496).

24679680 is an abundant number, since it is smaller than the sum of its proper divisors (54153312).

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

24679680 is an equidigital number, since it uses as much as digits as its factorization.

24679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 24679680 is about 4967.8647324580. The cubic root of 24679680 is about 291.1475733820.

The spelling of 24679680 in words is "twenty-four million, six hundred seventy-nine thousand, six hundred eighty".