6001920 has 108 divisors (see below), whose sum is σ = 20805876. Its totient is φ = 1597440.

The previous prime is 6001909. The next prime is 6001921. The reversal of 6001920 is 291006.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 4064256 = 1392^2 + 2016^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6001893 and 6001902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11260 + ... + 11780.

It is an arithmetic number, because the mean of its divisors is an integer number (192647).

Almost surely, 2^6001920 is an apocalyptic number.

6001920 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 6001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402938).

6001920 is an abundant number, since it is smaller than the sum of its proper divisors (14803956).

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

6001920 is a wasteful number, since it uses less digits than its factorization.

6001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 6001920 is about 2449.8816297936. The cubic root of 6001920 is about 181.7314398358.

Adding to 6001920 its reverse (291006), we get a palindrome (6292926).

The spelling of 6001920 in words is "six million, one thousand, nine hundred twenty".