2587960 has 64 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 946176.

The previous prime is 2587957. The next prime is 2587967. The reversal of 2587960 is 697852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26632 + ... + 26728.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

2^2587960 is an apocalyptic number.

2587960 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 2587960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2587960 is an abundant number, since it is smaller than the sum of its proper divisors (3762440).

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

2587960 is a wasteful number, since it uses less digits than its factorization.

2587960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2587960 is about 1608.7137719309. The cubic root of 2587960 is about 137.2943040085.

The spelling of 2587960 in words is "two million, five hundred eighty-seven thousand, nine hundred sixty".