20261952 has 84 divisors (see below), whose sum is σ = 60129420. Its totient is φ = 6515712.

The previous prime is 20261947. The next prime is 20261959. The reversal of 20261952 is 25916202.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 15492096 = 2184^2 + 3936^2 .

It is not an unprimeable number, because it can be changed into a prime (20261959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16098 + ... + 17310.

Almost surely, 2^20261952 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 20261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30064710).

20261952 is an abundant number, since it is smaller than the sum of its proper divisors (39867468).

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

20261952 is a wasteful number, since it uses less digits than its factorization.

20261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20261952 is about 4501.3278041040. The cubic root of 20261952 is about 272.6217036257.

The spelling of 20261952 in words is "twenty million, two hundred sixty-one thousand, nine hundred fifty-two".