601680960 has 280 divisors, whose sum is σ = 2168591040. Its totient is φ = 158340096.

The previous prime is 601680941. The next prime is 601680967. The reversal of 601680960 is 69086106.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (601680967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3602797 + ... + 3602963.

It is an arithmetic number, because the mean of its divisors is an integer number (7744968).

Almost surely, 2^601680960 is an apocalyptic number.

601680960 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 601680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084295520).

601680960 is an abundant number, since it is smaller than the sum of its proper divisors (1566910080).

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

601680960 is a wasteful number, since it uses less digits than its factorization.

601680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 601680960 is about 24529.1858813129. The cubic root of 601680960 is about 844.2195845327.

The spelling of 601680960 in words is "six hundred one million, six hundred eighty thousand, nine hundred sixty".