2616320 has 88 divisors (see below), whose sum is σ = 7270944. Its totient is φ = 884736.

The previous prime is 2616287. The next prime is 2616331. The reversal of 2616320 is 236162.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2616292 and 2616301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35804 + ... + 35876.

2^2616320 is an apocalyptic number.

2616320 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 2616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635472).

2616320 is an abundant number, since it is smaller than the sum of its proper divisors (4654624).

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

2616320 is an equidigital number, since it uses as much as digits as its factorization.

2616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2616320 is about 1617.5042503808. The cubic root of 2616320 is about 137.7939935437.

2616320 divided by its sum of digits (20) gives a triangular number (130816 = T₅₁₁).

The spelling of 2616320 in words is "two million, six hundred sixteen thousand, three hundred twenty".