6003720 has 160 divisors (see below), whose sum is σ = 21562200. Its totient is φ = 1492992.

The previous prime is 6003719. The next prime is 6003727. The reversal of 6003720 is 273006.

It can be written as a sum of positive squares in 4 ways, for example, as 5731236 + 272484 = 2394^2 + 522^2 .

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 = 6003693 and 6003702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6003727) 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, 55026 + ... + 55134.

Almost surely, 2^6003720 is an apocalyptic number.

6003720 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 6003720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781100).

6003720 is an abundant number, since it is smaller than the sum of its proper divisors (15558480).

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

6003720 is a wasteful number, since it uses less digits than its factorization.

6003720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 6003720 is about 2450.2489669419. The cubic root of 6003720 is about 181.7496053503.

Adding to 6003720 its reverse (273006), we get a palindrome (6276726).

The spelling of 6003720 in words is "six million, three thousand, seven hundred twenty".