3606120 has 192 divisors, whose sum is σ = 14152320. Its totient is φ = 808704.

The previous prime is 3606103. The next prime is 3606151. The reversal of 3606120 is 216063.

3606120 = 121² + 122² + ... + 232².

It is a happy number.

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 = 3606093 and 3606102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68014 + ... + 68066.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

Almost surely, 2^3606120 is an apocalyptic number.

3606120 is a gapful number since it is divisible by the number (30) 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 3606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3606120 is an abundant number, since it is smaller than the sum of its proper divisors (10546200).

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

3606120 is a wasteful number, since it uses less digits than its factorization.

3606120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

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

The square root of 3606120 is about 1898.9786728660. The cubic root of 3606120 is about 153.3486857134.

The spelling of 3606120 in words is "three million, six hundred six thousand, one hundred twenty".