25734500 has 48 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 9356000.

The previous prime is 25734473. The next prime is 25734503. The reversal of 25734500 is 543752.

It is a self number, because there is not a number n which added to its sum of digits gives 25734500.

It is not an unprimeable number, because it can be changed into a prime (25734503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3161 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^25734500 is an apocalyptic number.

25734500 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 25734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

25734500 is an abundant number, since it is smaller than the sum of its proper divisors (35592220).

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

25734500 is a wasteful number, since it uses less digits than its factorization.

25734500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 25734500 is about 5072.9182922653. The cubic root of 25734500 is about 295.2377667522.

The spelling of 25734500 in words is "twenty-five million, seven hundred thirty-four thousand, five hundred".