25746900 has 72 divisors (see below), whose sum is σ = 78432480. Its totient is φ = 6503040.

The previous prime is 25746887. The next prime is 25746907. The reversal of 25746900 is 964752.

It is a super-2 number, since 2×25746900² = 1325805719220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25746907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3442 + ... + 7958.

It is an arithmetic number, because the mean of its divisors is an integer number (1089340).

Almost surely, 2^25746900 is an apocalyptic number.

25746900 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 25746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39216240).

25746900 is an abundant number, since it is smaller than the sum of its proper divisors (52685580).

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

25746900 is a wasteful number, since it uses less digits than its factorization.

25746900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 25746900 is about 5074.1403212761. The cubic root of 25746900 is about 295.2851785983.

The spelling of 25746900 in words is "twenty-five million, seven hundred forty-six thousand, nine hundred".