2687616 has 48 divisors (see below), whose sum is σ = 7737210. Its totient is φ = 895488.

The previous prime is 2687611. The next prime is 2687621. The reversal of 2687616 is 6167862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2687611) and next prime (2687621).

It can be written as a sum of positive squares in only one way, i.e., 2433600 + 254016 = 1560^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2687611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15 + ... + 2318.

2^2687616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868605).

2687616 is an abundant number, since it is smaller than the sum of its proper divisors (5049594).

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

2687616 is a wasteful number, since it uses less digits than its factorization.

2687616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2338 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2687616 is about 1639.3950103621. The cubic root of 2687616 is about 139.0344444770.

Subtracting from 2687616 its product of digits (24192), we obtain a square (2663424 = 1632²).

The spelling of 2687616 in words is "two million, six hundred eighty-seven thousand, six hundred sixteen".