8632080 has 120 divisors (see below), whose sum is σ = 30563520. Its totient is φ = 2177280.

The previous prime is 8632069. The next prime is 8632081. The reversal of 8632080 is 802368.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (8632081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13365 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (254696).

Almost surely, 2^8632080 is an apocalyptic number.

8632080 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 8632080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281760).

8632080 is an abundant number, since it is smaller than the sum of its proper divisors (21931440).

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

8632080 is a wasteful number, since it uses less digits than its factorization.

8632080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8632080 is about 2938.0401631019. The cubic root of 8632080 is about 205.1343953153.

The spelling of 8632080 in words is "eight million, six hundred thirty-two thousand, eighty".