2587632 has 80 divisors (see below), whose sum is σ = 7237632. Its totient is φ = 794880.

The previous prime is 2587609. The next prime is 2587639. The reversal of 2587632 is 2367852.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (20160) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2587593 and 2587602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587639) 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, 55033 + ... + 55079.

2^2587632 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 2587632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618816).

2587632 is an abundant number, since it is smaller than the sum of its proper divisors (4650000).

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

2587632 is a wasteful number, since it uses less digits than its factorization.

2587632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2587632 is about 1608.6118239028. The cubic root of 2587632 is about 137.2885035023.

The spelling of 2587632 in words is "two million, five hundred eighty-seven thousand, six hundred thirty-two".