25220160 has 280 divisors, whose sum is σ = 103266240. Its totient is φ = 5723136.

The previous prime is 25220159. The next prime is 25220161. The reversal of 25220160 is 6102252.

It is an interprime number because it is at equal distance from previous prime (25220159) and next prime (25220161).

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (25220161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181371 + ... + 181509.

It is an arithmetic number, because the mean of its divisors is an integer number (368808).

Almost surely, 2^25220160 is an apocalyptic number.

25220160 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 25220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51633120).

25220160 is an abundant number, since it is smaller than the sum of its proper divisors (78046080).

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

25220160 is a wasteful number, since it uses less digits than its factorization.

25220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25220160 is about 5021.9677418319. The cubic root of 25220160 is about 293.2576021211.

The spelling of 25220160 in words is "twenty-five million, two hundred twenty thousand, one hundred sixty".