601312 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 266112.

The previous prime is 601309. The next prime is 601313. The reversal of 601312 is 213106.

It is a super-2 number, since 2×601312² = 723152242688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 601292 and 601301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13963 + ... + 14005.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁶⁰¹³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

601312 is an abundant number, since it is smaller than the sum of its proper divisors (729248).

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

601312 is a wasteful number, since it uses less digits than its factorization.

601312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 601312 is about 775.4430991375. The cubic root of 601312 is about 84.4046986446.

Adding to 601312 its reverse (213106), we get a palindrome (814418).

The spelling of 601312 in words is "six hundred one thousand, three hundred twelve".