25740000 has 360 divisors, whose sum is σ = 107459352. Its totient is φ = 5760000.

The previous prime is 25739999. The next prime is 25740007. The reversal of 25740000 is 4752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25740007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1979994 + ... + 1980006.

Almost surely, 2^25740000 is an apocalyptic number.

25740000 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 25740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53729676).

25740000 is an abundant number, since it is smaller than the sum of its proper divisors (81719352).

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

25740000 is a wasteful number, since it uses less digits than its factorization.

25740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 25740000 is about 5073.4603575863. The cubic root of 25740000 is about 295.2587980791.

Adding to 25740000 its reverse (4752), we get a palindrome (25744752).

The spelling of 25740000 in words is "twenty-five million, seven hundred forty thousand".