6036120 has 144 divisors (see below), whose sum is σ = 21256560. Its totient is φ = 1539648.

The previous prime is 6036119. The next prime is 6036127. The reversal of 6036120 is 216306.

It is a happy number.

6036120 is a `hidden beast` number, since 603 + 61 + 2 + 0 = 666.

6036120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 6036093 and 6036102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6036127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262429 + ... + 262451.

It is an arithmetic number, because the mean of its divisors is an integer number (147615).

Almost surely, 2^6036120 is an apocalyptic number.

6036120 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 6036120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628280).

6036120 is an abundant number, since it is smaller than the sum of its proper divisors (15220440).

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

6036120 is an equidigital number, since it uses as much as digits as its factorization.

6036120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6036120 is about 2456.8516438727. The cubic root of 6036120 is about 182.0759655509.

The spelling of 6036120 in words is "six million, thirty-six thousand, one hundred twenty".