25876900 has 54 divisors (see below), whose sum is σ = 65333058. Its totient is φ = 8870400.

The previous prime is 25876889. The next prime is 25876901. The reversal of 25876900 is 967852.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 25826724 = 224^2 + 5082^2 .

It is a super-2 number, since 2×25876900² = 1339227907220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25876900.

It is not an unprimeable number, because it can be changed into a prime (25876901) 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, 2260 + ... + 7540.

Almost surely, 2^25876900 is an apocalyptic number.

25876900 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 25876900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32666529).

25876900 is an abundant number, since it is smaller than the sum of its proper divisors (39456158).

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

25876900 is a wasteful number, since it uses less digits than its factorization.

25876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 25876900 is about 5086.9342437268. The cubic root of 25876900 is about 295.7813243668.

The spelling of 25876900 in words is "twenty-five million, eight hundred seventy-six thousand, nine hundred".