20783952 has 200 divisors, whose sum is σ = 72019200. Its totient is φ = 5660928.

The previous prime is 20783951. The next prime is 20783953. The reversal of 20783952 is 25938702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20783951) and next prime (20783953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20783951) 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 39 ways as a sum of consecutive naturals, for example, 263049 + ... + 263127.

It is an arithmetic number, because the mean of its divisors is an integer number (360096).

Almost surely, 2^20783952 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 20783952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009600).

20783952 is an abundant number, since it is smaller than the sum of its proper divisors (51235248).

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

20783952 is a wasteful number, since it uses less digits than its factorization.

20783952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20783952 is about 4558.9419825218. The cubic root of 20783952 is about 274.9430273160.

The spelling of 20783952 in words is "twenty million, seven hundred eighty-three thousand, nine hundred fifty-two".