200823120 has 240 divisors, whose sum is σ = 718204032. Its totient is φ = 50181120.

The previous prime is 200823107. The next prime is 200823121. The reversal of 200823120 is 21328002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 200823093 and 200823102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200823121) 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 47 ways as a sum of consecutive naturals, for example, 1109430 + ... + 1109610.

Almost surely, 2^200823120 is an apocalyptic number.

200823120 is a gapful number since it is divisible by the number (20) 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 200823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359102016).

200823120 is an abundant number, since it is smaller than the sum of its proper divisors (517380912).

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

200823120 is a wasteful number, since it uses less digits than its factorization.

200823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 200823120 is about 14171.2074291501. The cubic root of 200823120 is about 585.6047220348.

The spelling of 200823120 in words is "two hundred million, eight hundred twenty-three thousand, one hundred twenty".