20800832 has 56 divisors (see below), whose sum is σ = 46427136. Its totient is φ = 9174528.

The previous prime is 20800807. The next prime is 20800841. The reversal of 20800832 is 23800802.

It is a super-2 number, since 2×20800832² = 865349223784448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 20800798 and 20800807.

It is a congruent number.

It is an unprimeable number.

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, 18593 + ... + 19679.

It is an arithmetic number, because the mean of its divisors is an integer number (829056).

Almost surely, 2^20800832 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 20800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213568).

20800832 is an abundant number, since it is smaller than the sum of its proper divisors (25626304).

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

20800832 is a wasteful number, since it uses less digits than its factorization.

20800832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20800832 is about 4560.7929135184. The cubic root of 20800832 is about 275.0174402163.

It can be divided in two parts, 20800 and 832, that multiplied together give a square (17305600 = 4160²).

The spelling of 20800832 in words is "twenty million, eight hundred thousand, eight hundred thirty-two".