8587840 has 56 divisors (see below), whose sum is σ = 20921472. Its totient is φ = 3356160.

The previous prime is 8587807. The next prime is 8587841. The reversal of 8587840 is 487858.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8587793 and 8587802.

It is not an unprimeable number, because it can be changed into a prime (8587841) 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, 14755 + ... + 15325.

Almost surely, 2^8587840 is an apocalyptic number.

8587840 is a gapful number since it is divisible by the number (80) 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 8587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460736).

8587840 is an abundant number, since it is smaller than the sum of its proper divisors (12333632).

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

8587840 is a wasteful number, since it uses less digits than its factorization.

8587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 8587840 is about 2930.5016635382. The cubic root of 8587840 is about 204.7833523252.

The spelling of 8587840 in words is "eight million, five hundred eighty-seven thousand, eight hundred forty".