8928640 has 64 divisors (see below), whose sum is σ = 24406560. Its totient is φ = 3059712.

The previous prime is 8928599. The next prime is 8928643. The reversal of 8928640 is 468298.

8928640 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

It is a super-2 number, since 2×8928640² = 159441224499200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8928640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8928643) 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, 3484 + ... + 5476.

Almost surely, 2^8928640 is an apocalyptic number.

8928640 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 8928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203280).

8928640 is an abundant number, since it is smaller than the sum of its proper divisors (15477920).

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

8928640 is a wasteful number, since it uses less digits than its factorization.

8928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 8928640 is about 2988.0829975086. The cubic root of 8928640 is about 207.4571644292.

The spelling of 8928640 in words is "eight million, nine hundred twenty-eight thousand, six hundred forty".