200614640 has 80 divisors (see below), whose sum is σ = 493468416. Its totient is φ = 75724800.

The previous prime is 200614639. The next prime is 200614649. The reversal of 200614640 is 46416002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200614649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100694 + ... + 102666.

Almost surely, 2^200614640 is an apocalyptic number.

200614640 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 200614640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246734208).

200614640 is an abundant number, since it is smaller than the sum of its proper divisors (292853776).

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

200614640 is a wasteful number, since it uses less digits than its factorization.

200614640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 200614640 is about 14163.8497591580. The cubic root of 200614640 is about 585.4020077523.

The spelling of 200614640 in words is "two hundred million, six hundred fourteen thousand, six hundred forty".