25426800 has 180 divisors, whose sum is σ = 100943440. Its totient is φ = 5806080.

The previous prime is 25426783. The next prime is 25426811. The reversal of 25426800 is 862452.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 24696 + ... + 25704.

Almost surely, 2^25426800 is an apocalyptic number.

25426800 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 25426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50471720).

25426800 is an abundant number, since it is smaller than the sum of its proper divisors (75516640).

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

25426800 is a wasteful number, since it uses less digits than its factorization.

25426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25426800 is about 5042.4993802677. The cubic root of 25426800 is about 294.0563546004.

The spelling of 25426800 in words is "twenty-five million, four hundred twenty-six thousand, eight hundred".