24987960 has 128 divisors (see below), whose sum is σ = 88257600. Its totient is φ = 6266880.

The previous prime is 24987899. The next prime is 24987967. The reversal of 24987960 is 6978942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24987967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17680 + ... + 19040.

Almost surely, 2^24987960 is an apocalyptic number.

24987960 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 24987960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44128800).

24987960 is an abundant number, since it is smaller than the sum of its proper divisors (63269640).

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

24987960 is a wasteful number, since it uses less digits than its factorization.

24987960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 24987960 is about 4998.7958550035. The cubic root of 24987960 is about 292.3548260524.

It can be divided in two parts, 249 and 87960, that added together give a square (88209 = 297²).

The spelling of 24987960 in words is "twenty-four million, nine hundred eighty-seven thousand, nine hundred sixty".