20217952 has 48 divisors (see below), whose sum is σ = 41731200. Its totient is φ = 9630720.

The previous prime is 20217949. The next prime is 20218013. The reversal of 20217952 is 25971202.

It is a self number, because there is not a number n which added to its sum of digits gives 20217952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88174 + ... + 88402.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^20217952 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 20217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865600).

20217952 is an abundant number, since it is smaller than the sum of its proper divisors (21513248).

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

20217952 is a wasteful number, since it uses less digits than its factorization.

20217952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 20217952 is about 4496.4377011141. The cubic root of 20217952 is about 272.4242226802.

The spelling of 20217952 in words is "twenty million, two hundred seventeen thousand, nine hundred fifty-two".