641203200 has 594 divisors, whose sum is σ = 2633211672. Its totient is φ = 148684800.

The previous prime is 641203181. The next prime is 641203207. The reversal of 641203200 is 2302146.

It is a happy number.

641203200 is a `hidden beast` number, since 641 + 2 + 0 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×641203200² = 822283087380480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641203207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27878389 + ... + 27878411.

Almost surely, 2^641203200 is an apocalyptic number.

641203200 is a gapful number since it is divisible by the number (60) 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 641203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316605836).

641203200 is an abundant number, since it is smaller than the sum of its proper divisors (1992008472).

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

641203200 is a wasteful number, since it uses less digits than its factorization.

641203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 641203200 is about 25321.9904430912. The cubic root of 641203200 is about 862.3135828999.

Adding to 641203200 its reverse (2302146), we get a palindrome (643505346).

It can be divided in two parts, 641 and 203200, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 641203200 in words is "six hundred forty-one million, two hundred three thousand, two hundred".