601680 has 80 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 152064.

The previous prime is 601669. The next prime is 601687. The reversal of 601680 is 86106.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601687) by changing a digit.

601680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5466 + ... + 5574.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2⁶⁰¹⁶⁸⁰ is an apocalyptic number.

601680 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 601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

601680 is an abundant number, since it is smaller than the sum of its proper divisors (1362480).

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

601680 is a wasteful number, since it uses less digits than its factorization.

601680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 601680 is about 775.6803465346. The cubic root of 601680 is about 84.4219135540.

Adding to 601680 its reverse (86106), we get a palindrome (687786).

The spelling of 601680 in words is "six hundred one thousand, six hundred eighty".