25168900 has 72 divisors (see below), whose sum is σ = 58996224. Its totient is φ = 9292800.

The previous prime is 25168883. The next prime is 25168903. The reversal of 25168900 is 986152.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (25168903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71124 + ... + 71476.

It is an arithmetic number, because the mean of its divisors is an integer number (819392).

Almost surely, 2^25168900 is an apocalyptic number.

25168900 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 25168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29498112).

25168900 is an abundant number, since it is smaller than the sum of its proper divisors (33827324).

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

25168900 is a wasteful number, since it uses less digits than its factorization.

25168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 25168900 is about 5016.8615687499. The cubic root of 25168900 is about 293.0587852401.

The spelling of 25168900 in words is "twenty-five million, one hundred sixty-eight thousand, nine hundred".