25368000 has 224 divisors, whose sum is σ = 96365568. Its totient is φ = 5760000.

The previous prime is 25367999. The next prime is 25368001. The reversal of 25368000 is 86352.

It is an interprime number because it is at equal distance from previous prime (25367999) and next prime (25368001).

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25368001) 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, 167925 + ... + 168075.

Almost surely, 2^25368000 is an apocalyptic number.

25368000 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 25368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48182784).

25368000 is an abundant number, since it is smaller than the sum of its proper divisors (70997568).

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

25368000 is a wasteful number, since it uses less digits than its factorization.

25368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 25368000 is about 5036.6655636443. The cubic root of 25368000 is about 293.8295091851.

The spelling of 25368000 in words is "twenty-five million, three hundred sixty-eight thousand".