8672560 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 3087360.

The previous prime is 8672551. The next prime is 8672561. The reversal of 8672560 is 652768.

It is a tau number, because it is divible by the number of its divisors (80).

It is a d-powerful number, because it can be written as 8³ + 6² + 7³ + 2²³ + 5⁵ + 6⁷ + 0 .

It is not an unprimeable number, because it can be changed into a prime (8672561) 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, 32106 + ... + 32374.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^8672560 is an apocalyptic number.

8672560 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 8672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8672560 is an abundant number, since it is smaller than the sum of its proper divisors (13826000).

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

8672560 is a wasteful number, since it uses less digits than its factorization.

8672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 8672560 is about 2944.9210515734. The cubic root of 8672560 is about 205.4545535233.

The spelling of 8672560 in words is "eight million, six hundred seventy-two thousand, five hundred sixty".