20800332 has 72 divisors (see below), whose sum is σ = 61152000. Its totient is φ = 5838048.

The previous prime is 20800331. The next prime is 20800343. The reversal of 20800332 is 23300802.

It is a super-2 number, since 2×20800332² = 865307622620448, which contains 22 as substring.

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 (20800331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14169 + ... + 15567.

Almost surely, 2^20800332 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 20800332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576000).

20800332 is an abundant number, since it is smaller than the sum of its proper divisors (40351668).

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

20800332 is a wasteful number, since it uses less digits than its factorization.

20800332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1470 counting only the distinct ones).

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

The square root of 20800332 is about 4560.7380981591. The cubic root of 20800332 is about 275.0152366214.

The spelling of 20800332 in words is "twenty million, eight hundred thousand, three hundred thirty-two".