20617328 has 40 divisors (see below), whose sum is σ = 42608880. Its totient is φ = 9630720.

The previous prime is 20617327. The next prime is 20617343. The reversal of 20617328 is 82371602.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20617328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20617321) 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 7 ways as a sum of consecutive naturals, for example, 62123 + ... + 62453.

It is an arithmetic number, because the mean of its divisors is an integer number (1065222).

Almost surely, 2^20617328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20617328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304440).

20617328 is an abundant number, since it is smaller than the sum of its proper divisors (21991552).

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

20617328 is a wasteful number, since it uses less digits than its factorization.

20617328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 20617328 is about 4540.6307931828. The cubic root of 20617328 is about 274.2063198200.

The spelling of 20617328 in words is "twenty million, six hundred seventeen thousand, three hundred twenty-eight".