25992000 has 252 divisors, whose sum is σ = 98128836. Its totient is φ = 6566400.

The previous prime is 25991971. The next prime is 25992011. The reversal of 25992000 is 29952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 25160256 = 912^2 + 5016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1367991 + ... + 1368009.

Almost surely, 2^25992000 is an apocalyptic number.

25992000 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 25992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49064418).

25992000 is an abundant number, since it is smaller than the sum of its proper divisors (72136836).

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

25992000 is a wasteful number, since it uses less digits than its factorization.

25992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 25992000 is about 5098.2349886995. The cubic root of 25992000 is about 296.2192191488.

Multiplying 25992000 by its product of nonzero digits (1620), we get a square (42107040000 = 205200²).

The spelling of 25992000 in words is "twenty-five million, nine hundred ninety-two thousand".