6750120 has 64 divisors (see below), whose sum is σ = 21813120. Its totient is φ = 1661184.

The previous prime is 6750113. The next prime is 6750167. The reversal of 6750120 is 210576.

It is a super-3 number, since 3×6750120³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604 + ... + 3723.

It is an arithmetic number, because the mean of its divisors is an integer number (340830).

Almost surely, 2^6750120 is an apocalyptic number.

6750120 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 6750120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906560).

6750120 is an abundant number, since it is smaller than the sum of its proper divisors (15063000).

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

6750120 is a wasteful number, since it uses less digits than its factorization.

6750120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 6750120 is about 2598.0993052614. The cubic root of 6750120 is about 188.9892774074.

Adding to 6750120 its reverse (210576), we get a palindrome (6960696).

It can be divided in two parts, 6750 and 120, that multiplied together give a 4-th power (810000 = 30⁴).

The spelling of 6750120 in words is "six million, seven hundred fifty thousand, one hundred twenty".