25268000 has 48 divisors (see below), whose sum is σ = 62093304. Its totient is φ = 10105600.

The previous prime is 25267997. The next prime is 25268011. The reversal of 25268000 is 86252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7862416 + 17405584 = 2804^2 + 4172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842 + ... + 7158.

Almost surely, 2^25268000 is an apocalyptic number.

25268000 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 25268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31046652).

25268000 is an abundant number, since it is smaller than the sum of its proper divisors (36825304).

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

25268000 is an equidigital number, since it uses as much as digits as its factorization.

25268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 25268000 is about 5026.7285584165. The cubic root of 25268000 is about 293.4429113106.

The spelling of 25268000 in words is "twenty-five million, two hundred sixty-eight thousand".