200840640 has 672 divisors, whose sum is σ = 908060160. Its totient is φ = 36495360.

The previous prime is 200840597. The next prime is 200840657. The reversal of 200840640 is 46048002.

200840640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×200840640³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200840640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10570551 + ... + 10570569.

It is an arithmetic number, because the mean of its divisors is an integer number (1351280).

Almost surely, 2^200840640 is an apocalyptic number.

200840640 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 200840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454030080).

200840640 is an abundant number, since it is smaller than the sum of its proper divisors (707219520).

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

200840640 is a wasteful number, since it uses less digits than its factorization.

200840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 200840640 is about 14171.8255704761. The cubic root of 200840640 is about 585.6217511106.

Adding to 200840640 its reverse (46048002), we get a palindrome (246888642).

The spelling of 200840640 in words is "two hundred million, eight hundred forty thousand, six hundred forty".