19820160 has 256 divisors, whose sum is σ = 74419200. Its totient is φ = 4976640.

The previous prime is 19820159. The next prime is 19820161. The reversal of 19820160 is 6102891.

It is an interprime number because it is at equal distance from previous prime (19820159) and next prime (19820161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19820161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535662 + ... + 535698.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^19820160 is an apocalyptic number.

19820160 is a gapful number since it is divisible by the number (10) 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 19820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209600).

19820160 is an abundant number, since it is smaller than the sum of its proper divisors (54599040).

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

19820160 is a wasteful number, since it uses less digits than its factorization.

19820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 19820160 is about 4451.9838274639. The cubic root of 19820160 is about 270.6257093286.

The spelling of 19820160 in words is "nineteen million, eight hundred twenty thousand, one hundred sixty".