24961000 has 64 divisors (see below), whose sum is σ = 59202000. Its totient is φ = 9849600.

The previous prime is 24960931. The next prime is 24961007. The reversal of 24961000 is 16942.

It can be written as a sum of positive squares in 8 ways, for example, as 6625476 + 18335524 = 2574^2 + 4282^2 .

It is not an unprimeable number, because it can be changed into a prime (24961007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108886 + ... + 109114.

Almost surely, 2^24961000 is an apocalyptic number.

24961000 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 24961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29601000).

24961000 is an abundant number, since it is smaller than the sum of its proper divisors (34241000).

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

24961000 is a wasteful number, since it uses less digits than its factorization.

24961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 24961000 is about 4996.0984778125. The cubic root of 24961000 is about 292.2496457649.

Adding to 24961000 its reverse (16942), we get a palindrome (24977942).

The spelling of 24961000 in words is "twenty-four million, nine hundred sixty-one thousand".