8629960 has 32 divisors (see below), whose sum is σ = 19670400. Its totient is φ = 3407040.

The previous prime is 8629949. The next prime is 8629961. The reversal of 8629960 is 699268.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8629961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1795 + ... + 4525.

It is an arithmetic number, because the mean of its divisors is an integer number (614700).

Almost surely, 2^8629960 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 8629960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835200).

8629960 is an abundant number, since it is smaller than the sum of its proper divisors (11040440).

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

8629960 is a wasteful number, since it uses less digits than its factorization.

8629960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 8629960 is about 2937.6793562266. The cubic root of 8629960 is about 205.1176005789.

The spelling of 8629960 in words is "eight million, six hundred twenty-nine thousand, nine hundred sixty".