20312064 has 156 divisors (see below), whose sum is σ = 63889800. Its totient is φ = 6193152.

The previous prime is 20312063. The next prime is 20312077. The reversal of 20312064 is 46021302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312063) 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, 700402 + ... + 700430.

It is an arithmetic number, because the mean of its divisors is an integer number (409550).

Almost surely, 2^20312064 is an apocalyptic number.

20312064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31944900).

20312064 is an abundant number, since it is smaller than the sum of its proper divisors (43577736).

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

20312064 is a wasteful number, since it uses less digits than its factorization.

20312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20312064 is about 4506.8907242133. The cubic root of 20312064 is about 272.8462685573.

Adding to 20312064 its reverse (46021302), we get a palindrome (66333366).

It can be divided in two parts, 2031 and 2064, that added together give a triangular number (4095 = T₉₀).

The spelling of 20312064 in words is "twenty million, three hundred twelve thousand, sixty-four".