6001608040 has 128 divisors (see below), whose sum is σ = 14506905600. Its totient is φ = 2229131520.

The previous prime is 6001608007. The next prime is 6001608043. The reversal of 6001608040 is 408061006.

It is a junction number, because it is equal to n+sod(n) for n = 6001607996 and 6001608014.

It is not an unprimeable number, because it can be changed into a prime (6001608043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8346801 + ... + 8347519.

It is an arithmetic number, because the mean of its divisors is an integer number (113335200).

Almost surely, 2^6001608040 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 6001608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253452800).

6001608040 is an abundant number, since it is smaller than the sum of its proper divisors (8505297560).

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

6001608040 is a wasteful number, since it uses less digits than its factorization.

6001608040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6001608040 is about 77470.0460823408. The cubic root of 6001608040 is about 1817.2829118098.

Adding to 6001608040 its reverse (408061006), we get a palindrome (6409669046).

The spelling of 6001608040 in words is "six billion, one million, six hundred eight thousand, forty".