8632980 has 90 divisors (see below), whose sum is σ = 27458046. Its totient is φ = 2270592.

The previous prime is 8632979. The next prime is 8633021. The reversal of 8632980 is 892368.

It can be written as a sum of positive squares in 3 ways, for example, as 1245456 + 7387524 = 1116^2 + 2718^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 118224 + ... + 118296.

Almost surely, 2^8632980 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 8632980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729023).

8632980 is an abundant number, since it is smaller than the sum of its proper divisors (18825066).

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

8632980 is a wasteful number, since it uses less digits than its factorization.

8632980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8632980 is about 2938.1933224347. The cubic root of 8632980 is about 205.1415243248.

The spelling of 8632980 in words is "eight million, six hundred thirty-two thousand, nine hundred eighty".