2616120 has 144 divisors (see below), whose sum is σ = 9420840. Its totient is φ = 628992.

The previous prime is 2616071. The next prime is 2616139. The reversal of 2616120 is 216162.

It is a happy number.

2616120 is nontrivially palindromic in base 7.

2616120 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 junction number, because it is equal to n+sod(n) for n = 2616093 and 2616102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60819 + ... + 60861.

2^2616120 is an apocalyptic number.

2616120 is a gapful number since it is divisible by the number (20) 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 2616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710420).

2616120 is an abundant number, since it is smaller than the sum of its proper divisors (6804720).

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

2616120 is a wasteful number, since it uses less digits than its factorization.

2616120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2616120 is about 1617.4424255596. The cubic root of 2616120 is about 137.7904823140.

The spelling of 2616120 in words is "two million, six hundred sixteen thousand, one hundred twenty".