25256000 has 224 divisors, whose sum is σ = 79881984. Its totient is φ = 7680000.

The previous prime is 25255973. The next prime is 25256003. The reversal of 25256000 is 65252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25256003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615980 + ... + 616020.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^25256000 is an apocalyptic number.

25256000 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 25256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

25256000 is an abundant number, since it is smaller than the sum of its proper divisors (54625984).

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

25256000 is a wasteful number, since it uses less digits than its factorization.

25256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 25256000 is about 5025.5347974121. The cubic root of 25256000 is about 293.3964510642.

The spelling of 25256000 in words is "twenty-five million, two hundred fifty-six thousand".