2687960 has 64 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 947200.

The previous prime is 2687957. The next prime is 2687969. The reversal of 2687960 is 697862.

It is a d-powerful number, because it can be written as 2¹⁷ + 6⁶ + 8³ + 7⁷ + 9⁴ + 6⁸ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17966 + ... + 18114.

2^2687960 is an apocalyptic number.

2687960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1639×1640.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2687960 is an abundant number, since it is smaller than the sum of its proper divisors (4116040).

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

2687960 is a wasteful number, since it uses less digits than its factorization.

2687960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2687960 is about 1639.4999237572. The cubic root of 2687960 is about 139.0403761042.

It can be divided in two parts, 268 and 7960, that added together give a palindrome (8228).

The spelling of 2687960 in words is "two million, six hundred eighty-seven thousand, nine hundred sixty".