25868700 has 288 divisors, whose sum is σ = 99160320. Its totient is φ = 5702400.

The previous prime is 25868681. The next prime is 25868723. The reversal of 25868700 is 786852.

25868700 is a `hidden beast` number, since 2 + 586 + 8 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386067 + ... + 386133.

Almost surely, 2^25868700 is an apocalyptic number.

25868700 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 25868700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49580160).

25868700 is an abundant number, since it is smaller than the sum of its proper divisors (73291620).

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

25868700 is a wasteful number, since it uses less digits than its factorization.

25868700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 25868700 is about 5086.1281934297. The cubic root of 25868700 is about 295.7500781833.

The spelling of 25868700 in words is "twenty-five million, eight hundred sixty-eight thousand, seven hundred".