25506360 has 256 divisors, whose sum is σ = 98496000. Its totient is φ = 5806080.

The previous prime is 25506337. The next prime is 25506367. The reversal of 25506360 is 6360552.

25506360 is a `hidden beast` number, since 25 + 5 + 0 + 636 + 0 = 666.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25506367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225664 + ... + 225776.

It is an arithmetic number, because the mean of its divisors is an integer number (384750).

Almost surely, 2^25506360 is an apocalyptic number.

25506360 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 25506360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49248000).

25506360 is an abundant number, since it is smaller than the sum of its proper divisors (72989640).

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

25506360 is a wasteful number, since it uses less digits than its factorization.

25506360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 25506360 is about 5050.3821637575. The cubic root of 25506360 is about 294.3627342855.

The spelling of 25506360 in words is "twenty-five million, five hundred six thousand, three hundred sixty".