8672664 has 192 divisors, whose sum is σ = 30723840. Its totient is φ = 1969920.

The previous prime is 8672659. The next prime is 8672687. The reversal of 8672664 is 4662768.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456447 + ... + 456465.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^8672664 is an apocalyptic number.

8672664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8672664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

8672664 is an abundant number, since it is smaller than the sum of its proper divisors (22051176).

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

8672664 is a wasteful number, since it uses less digits than its factorization.

8672664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 8672664 is about 2944.9387090396. The cubic root of 8672664 is about 205.4553747798.

The spelling of 8672664 in words is "eight million, six hundred seventy-two thousand, six hundred sixty-four".