8638560 has 144 divisors (see below), whose sum is σ = 33729696. Its totient is φ = 1972224.

The previous prime is 8638543. The next prime is 8638583. The reversal of 8638560 is 658368.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9652 + ... + 10508.

It is an arithmetic number, because the mean of its divisors is an integer number (234234).

Almost surely, 2^8638560 is an apocalyptic number.

8638560 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 8638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864848).

8638560 is an abundant number, since it is smaller than the sum of its proper divisors (25091136).

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

8638560 is a wasteful number, since it uses less digits than its factorization.

8638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8638560 is about 2939.1427321585. The cubic root of 8638560 is about 205.1857131282.

The spelling of 8638560 in words is "eight million, six hundred thirty-eight thousand, five hundred sixty".