20252160 has 160 divisors (see below), whose sum is σ = 72182880. Its totient is φ = 5382144.

The previous prime is 20252149. The next prime is 20252173. The reversal of 20252160 is 6125202.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 68974 + ... + 69266.

It is an arithmetic number, because the mean of its divisors is an integer number (451143).

Almost surely, 2^20252160 is an apocalyptic number.

20252160 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 20252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36091440).

20252160 is an abundant number, since it is smaller than the sum of its proper divisors (51930720).

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

20252160 is an equidigital number, since it uses as much as digits as its factorization.

20252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

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

The square root of 20252160 is about 4500.2399936003. The cubic root of 20252160 is about 272.5777798901.

Adding to 20252160 its reverse (6125202), we get a palindrome (26377362).

The spelling of 20252160 in words is "twenty million, two hundred fifty-two thousand, one hundred sixty".