8628084 has 36 divisors (see below), whose sum is σ = 22173060. Its totient is φ = 2828160.

The previous prime is 8628077. The next prime is 8628097. The reversal of 8628084 is 4808268.

8628084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 7952400 = 822^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8628084² = 148887667022112, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 232 + ... + 4160.

Almost surely, 2^8628084 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 8628084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086530).

8628084 is an abundant number, since it is smaller than the sum of its proper divisors (13544976).

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

8628084 is a wasteful number, since it uses less digits than its factorization.

8628084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8628084 is about 2937.3600392189. The cubic root of 8628084 is about 205.1027365276.

The spelling of 8628084 in words is "eight million, six hundred twenty-eight thousand, eighty-four".