8642624 has 28 divisors (see below), whose sum is σ = 17367504. Its totient is φ = 4266624.

The previous prime is 8642591. The next prime is 8642633. The reversal of 8642624 is 4262468.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4499 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (620268).

Almost surely, 2^8642624 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 8642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683752).

8642624 is an abundant number, since it is smaller than the sum of its proper divisors (8724880).

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

8642624 is a wasteful number, since it uses less digits than its factorization.

8642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1712 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 8642624 is about 2939.8340089196. The cubic root of 8642624 is about 205.2178845397.

The spelling of 8642624 in words is "eight million, six hundred forty-two thousand, six hundred twenty-four".