20435952 has 80 divisors (see below), whose sum is σ = 55844640. Its totient is φ = 6429696.

The previous prime is 20435941. The next prime is 20435953. The reversal of 20435952 is 25953402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20435953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73638 + ... + 73914.

It is an arithmetic number, because the mean of its divisors is an integer number (698058).

Almost surely, 2^20435952 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 20435952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27922320).

20435952 is an abundant number, since it is smaller than the sum of its proper divisors (35408688).

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

20435952 is a wasteful number, since it uses less digits than its factorization.

20435952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 20435952 is about 4520.6141175730. The cubic root of 20435952 is about 273.3998621850.

The spelling of 20435952 in words is "twenty million, four hundred thirty-five thousand, nine hundred fifty-two".