200640000 has 400 divisors, whose sum is σ = 767004480. Its totient is φ = 46080000.

The previous prime is 200639977. The next prime is 200640023. The reversal of 200640000 is 46002.

It is an interprime number because it is at equal distance from previous prime (200639977) and next prime (200640023).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559991 + ... + 10560009.

Almost surely, 2^200640000 is an apocalyptic number.

200640000 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 200640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383502240).

200640000 is an abundant number, since it is smaller than the sum of its proper divisors (566364480).

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

200640000 is an equidigital number, since it uses as much as digits as its factorization.

200640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200640000 is about 14164.7449677006. The cubic root of 200640000 is about 585.4266738973.

Adding to 200640000 its reverse (46002), we get a palindrome (200686002).

The spelling of 200640000 in words is "two hundred million, six hundred forty thousand".