20319120 has 160 divisors (see below), whose sum is σ = 73209600. Its totient is φ = 5170176.

The previous prime is 20319109. The next prime is 20319127. The reversal of 20319120 is 2191302.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20319093 and 20319102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20319127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49476 + ... + 49884.

It is an arithmetic number, because the mean of its divisors is an integer number (457560).

Almost surely, 2^20319120 is an apocalyptic number.

20319120 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 20319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604800).

20319120 is an abundant number, since it is smaller than the sum of its proper divisors (52890480).

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

20319120 is a wasteful number, since it uses less digits than its factorization.

20319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20319120 is about 4507.6734575610. The cubic root of 20319120 is about 272.8778586571.

The spelling of 20319120 in words is "twenty million, three hundred nineteen thousand, one hundred twenty".