24780672 has 144 divisors (see below), whose sum is σ = 83140200. Its totient is φ = 7064064.

The previous prime is 24780671. The next prime is 24780673. The reversal of 24780672 is 27608742.

It is an interprime number because it is at equal distance from previous prime (24780671) and next prime (24780673).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×24780672² = 1228163409543168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24780671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56229 + ... + 56667.

Almost surely, 2^24780672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41570100).

24780672 is an abundant number, since it is smaller than the sum of its proper divisors (58359528).

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

24780672 is a wasteful number, since it uses less digits than its factorization.

24780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 24780672 is about 4978.0188830498. The cubic root of 24780672 is about 291.5441690036.

It can be divided in two parts, 24780 and 672, that added together give a palindrome (25452).

The spelling of 24780672 in words is "twenty-four million, seven hundred eighty thousand, six hundred seventy-two".