25314000 has 80 divisors (see below), whose sum is σ = 81631680. Its totient is φ = 6748800.

The previous prime is 25313999. The next prime is 25314041. The reversal of 25314000 is 41352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3891 + ... + 8109.

It is an arithmetic number, because the mean of its divisors is an integer number (1020396).

Almost surely, 2^25314000 is an apocalyptic number.

25314000 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 25314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40815840).

25314000 is an abundant number, since it is smaller than the sum of its proper divisors (56317680).

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

25314000 is a wasteful number, since it uses less digits than its factorization.

25314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 25314000 is about 5031.3020183646. The cubic root of 25314000 is about 293.6208727770.

Adding to 25314000 its reverse (41352), we get a palindrome (25355352).

The spelling of 25314000 in words is "twenty-five million, three hundred fourteen thousand".