20382320 has 80 divisors (see below), whose sum is σ = 57371328. Its totient is φ = 6574080.

The previous prime is 20382293. The next prime is 20382353. The reversal of 20382320 is 2328302.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20382292 and 20382301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8450 + ... + 10590.

Almost surely, 2^20382320 is an apocalyptic number.

20382320 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 20382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685664).

20382320 is an abundant number, since it is smaller than the sum of its proper divisors (36989008).

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

20382320 is a wasteful number, since it uses less digits than its factorization.

20382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 20382320 is about 4514.6782831117. The cubic root of 20382320 is about 273.1604829561.

It can be divided in two parts, 20382 and 320, that added together give a palindrome (20702).

The spelling of 20382320 in words is "twenty million, three hundred eighty-two thousand, three hundred twenty".