2687632 has 40 divisors (see below), whose sum is σ = 5671512. Its totient is φ = 1228800.

The previous prime is 2687621. The next prime is 2687639. The reversal of 2687632 is 2367862.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 2298256 = 624^2 + 1516^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 2² + 6² + 8⁴ + 7⁷ + 6⁷ + 3¹² + 2²⁰ .

It is not an unprimeable number, because it can be changed into a prime (2687639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11032 + ... + 11272.

2^2687632 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 2687632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835756).

2687632 is an abundant number, since it is smaller than the sum of its proper divisors (2983880).

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

2687632 is a wasteful number, since it uses less digits than its factorization.

2687632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 2687632 is about 1639.3998902037. The cubic root of 2687632 is about 139.0347203779.

The spelling of 2687632 in words is "two million, six hundred eighty-seven thousand, six hundred thirty-two".