601341600 has 144 divisors (see below), whose sum is σ = 1985497920. Its totient is φ = 158054400.

The previous prime is 601341589. The next prime is 601341607. The reversal of 601341600 is 6143106.

It is a super-2 number, since 2×601341600² = 723223439781120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601341607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168636 + ... + 172164.

It is an arithmetic number, because the mean of its divisors is an integer number (13788180).

Almost surely, 2^601341600 is an apocalyptic number.

601341600 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 601341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992748960).

601341600 is an abundant number, since it is smaller than the sum of its proper divisors (1384156320).

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

601341600 is a wasteful number, since it uses less digits than its factorization.

601341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 601341600 is about 24522.2674318669. The cubic root of 601341600 is about 844.0608358176.

Adding to 601341600 its reverse (6143106), we get a palindrome (607484706).

The spelling of 601341600 in words is "six hundred one million, three hundred forty-one thousand, six hundred".