20032320 has 224 divisors, whose sum is σ = 79589376. Its totient is φ = 4147200.

The previous prime is 20032283. The next prime is 20032321. The reversal of 20032320 is 2323002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20032296 and 20032305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032321) 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, 73785 + ... + 74055.

Almost surely, 2^20032320 is an apocalyptic number.

20032320 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 20032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794688).

20032320 is an abundant number, since it is smaller than the sum of its proper divisors (59557056).

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

20032320 is a wasteful number, since it uses less digits than its factorization.

20032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20032320 is about 4475.7479821813. The cubic root of 20032320 is about 271.5878995970.

Adding to 20032320 its reverse (2323002), we get a palindrome (22355322).

The spelling of 20032320 in words is "twenty million, thirty-two thousand, three hundred twenty".