25860900 has 144 divisors (see below), whose sum is σ = 85064000. Its totient is φ = 6013440.

The previous prime is 25860899. The next prime is 25860911. The reversal of 25860900 is 906852.

It is a super-2 number, since 2×25860900² = 1337572297620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73926 + ... + 74274.

Almost surely, 2^25860900 is an apocalyptic number.

25860900 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 25860900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42532000).

25860900 is an abundant number, since it is smaller than the sum of its proper divisors (59203100).

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

25860900 is a wasteful number, since it uses less digits than its factorization.

25860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 25860900 is about 5085.3613440935. The cubic root of 25860900 is about 295.7203500755.

The spelling of 25860900 in words is "twenty-five million, eight hundred sixty thousand, nine hundred".