601344000 has 480 divisors, whose sum is σ = 2318916600. Its totient is φ = 154828800.

The previous prime is 601343999. The next prime is 601344013. The reversal of 601344000 is 443106.

It can be written as a sum of positive squares in 4 ways, for example, as 183223296 + 418120704 = 13536^2 + 20448^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×601344000² = 723229212672000000, which contains 22 as substring.

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

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, 20735986 + ... + 20736014.

Almost surely, 2^601344000 is an apocalyptic number.

601344000 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 601344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159458300).

601344000 is an abundant number, since it is smaller than the sum of its proper divisors (1717572600).

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

601344000 is an equidigital number, since it uses as much as digits as its factorization.

601344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

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

The square root of 601344000 is about 24522.3163669340. The cubic root of 601344000 is about 844.0619587197.

Adding to 601344000 its reverse (443106), we get a palindrome (601787106).

The spelling of 601344000 in words is "six hundred one million, three hundred forty-four thousand".