25189920 has 384 divisors, whose sum is σ = 108864000. Its totient is φ = 5419008.

The previous prime is 25189909. The next prime is 25189921. The reversal of 25189920 is 2998152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25189921) 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, 1481752 + ... + 1481768.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^25189920 is an apocalyptic number.

25189920 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 25189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

25189920 is an abundant number, since it is smaller than the sum of its proper divisors (83674080).

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

25189920 is a wasteful number, since it uses less digits than its factorization.

25189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 25189920 is about 5018.9560667533. The cubic root of 25189920 is about 293.1403459702.

The spelling of 25189920 in words is "twenty-five million, one hundred eighty-nine thousand, nine hundred twenty".