20488160 has 96 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 6382080.

The previous prime is 20488159. The next prime is 20488177. The reversal of 20488160 is 6188402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11489 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^20488160 is an apocalyptic number.

20488160 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 20488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616).

20488160 is an abundant number, since it is smaller than the sum of its proper divisors (39895072).

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

20488160 is a wasteful number, since it uses less digits than its factorization.

20488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 20488160 is about 4526.3848709539. The cubic root of 20488160 is about 273.6324836322.

It can be divided in two parts, 20488 and 160, that multiplied together give a triangular number (3278080 = T₂₅₆₀).

The spelling of 20488160 in words is "twenty million, four hundred eighty-eight thousand, one hundred sixty".