20311072 has 48 divisors (see below), whose sum is σ = 41626872. Its totient is φ = 9748480.

The previous prime is 20311069. The next prime is 20311079. The reversal of 20311072 is 27011302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6739216 + 13571856 = 2596^2 + 3684^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20311079) 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, 148188 + ... + 148324.

Almost surely, 2^20311072 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 20311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20813436).

20311072 is an abundant number, since it is smaller than the sum of its proper divisors (21315800).

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

20311072 is a wasteful number, since it uses less digits than its factorization.

20311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 20311072 is about 4506.7806691695. The cubic root of 20311072 is about 272.8418267322.

Adding to 20311072 its reverse (27011302), we get a palindrome (47322374).

The spelling of 20311072 in words is "twenty million, three hundred eleven thousand, seventy-two".