601801200 has 720 divisors, whose sum is σ = 2820819456. Its totient is φ = 114739200.

The previous prime is 601801199. The next prime is 601801201. The reversal of 601801200 is 2108106.

It is an interprime number because it is at equal distance from previous prime (601801199) and next prime (601801201).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×601801200³ (a number of 27 digits) contains 333 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 (601801201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3603517 + ... + 3603683.

Almost surely, 2^601801200 is an apocalyptic number.

601801200 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 601801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410409728).

601801200 is an abundant number, since it is smaller than the sum of its proper divisors (2219018256).

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

601801200 is a wasteful number, since it uses less digits than its factorization.

601801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 601801200 is about 24531.6367166971. The cubic root of 601801200 is about 844.2758171036.

Adding to 601801200 its reverse (2108106), we get a palindrome (603909306).

The spelling of 601801200 in words is "six hundred one million, eight hundred one thousand, two hundred".