24965000 has 40 divisors (see below), whose sum is σ = 58504710. Its totient is φ = 9984000.

The previous prime is 24964999. The next prime is 24965009. The reversal of 24965000 is 56942.

It can be written as a sum of positive squares in 5 ways, for example, as 24964 + 24940036 = 158^2 + 4994^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24965009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2504 + ... + 7496.

Almost surely, 2^24965000 is an apocalyptic number.

24965000 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 24965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29252355).

24965000 is an abundant number, since it is smaller than the sum of its proper divisors (33539710).

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

24965000 is an equidigital number, since it uses as much as digits as its factorization.

24965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 24965000 is about 4996.4987741417. The cubic root of 24965000 is about 292.2652559320.

The spelling of 24965000 in words is "twenty-four million, nine hundred sixty-five thousand".