8672640 has 64 divisors (see below), whose sum is σ = 27650160. Its totient is φ = 2312192.

The previous prime is 8672639. The next prime is 8672641. The reversal of 8672640 is 462768.

It is an interprime number because it is at equal distance from previous prime (8672639) and next prime (8672641).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8672641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 339 + ... + 4178.

Almost surely, 2^8672640 is an apocalyptic number.

8672640 is a gapful number since it is divisible by the number (80) 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 8672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825080).

8672640 is an abundant number, since it is smaller than the sum of its proper divisors (18977520).

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

8672640 is a wasteful number, since it uses less digits than its factorization.

8672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8672640 is about 2944.9346342491. The cubic root of 8672640 is about 205.4551852597.

The spelling of 8672640 in words is "eight million, six hundred seventy-two thousand, six hundred forty".