6120000 has 210 divisors, whose sum is σ = 23209758. Its totient is φ = 1536000.

The previous prime is 6119977. The next prime is 6120007. The reversal of 6120000 is 216.

It can be written as a sum of positive squares in 5 ways, for example, as 1557504 + 4562496 = 1248^2 + 2136^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (6120007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359992 + ... + 360008.

Almost surely, 2^6120000 is an apocalyptic number.

6120000 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 6120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604879).

6120000 is an abundant number, since it is smaller than the sum of its proper divisors (17089758).

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

6120000 is a wasteful number, since it uses less digits than its factorization.

6120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 6120000 is about 2473.8633753706. The cubic root of 6120000 is about 182.9154854754.

Adding to 6120000 its reverse (216), we get a palindrome (6120216).

The spelling of 6120000 in words is "six million, one hundred twenty thousand".