20719120 has 80 divisors (see below), whose sum is σ = 52050240. Its totient is φ = 7644672.

The previous prime is 20719117. The next prime is 20719121. The reversal of 20719120 is 2191702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20719091 and 20719100.

It is not an unprimeable number, because it can be changed into a prime (20719121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65202 + ... + 65518.

It is an arithmetic number, because the mean of its divisors is an integer number (650628).

Almost surely, 2^20719120 is an apocalyptic number.

20719120 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 20719120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26025120).

20719120 is an abundant number, since it is smaller than the sum of its proper divisors (31331120).

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

20719120 is a wasteful number, since it uses less digits than its factorization.

20719120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 20719120 is about 4551.8260072195. The cubic root of 20719120 is about 274.6568502268.

The spelling of 20719120 in words is "twenty million, seven hundred nineteen thousand, one hundred twenty".