8624672 has 48 divisors (see below), whose sum is σ = 19615680. Its totient is φ = 3656448.

The previous prime is 8624669. The next prime is 8624677. The reversal of 8624672 is 2764268.

It is not an unprimeable number, because it can be changed into a prime (8624677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30998 + ... + 31274.

It is an arithmetic number, because the mean of its divisors is an integer number (408660).

Almost surely, 2^8624672 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 8624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807840).

8624672 is an abundant number, since it is smaller than the sum of its proper divisors (10991008).

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

8624672 is a wasteful number, since it uses less digits than its factorization.

8624672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 8624672 is about 2936.7791881583. The cubic root of 8624672 is about 205.0756968123.

The spelling of 8624672 in words is "eight million, six hundred twenty-four thousand, six hundred seventy-two".