8640480 has 96 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 2249216.

The previous prime is 8640451. The next prime is 8640481. The reversal of 8640480 is 840468.

8640480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8640481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22369 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 2^8640480 is an apocalyptic number.

8640480 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 8640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

8640480 is an abundant number, since it is smaller than the sum of its proper divisors (19228704).

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

8640480 is a wasteful number, since it uses less digits than its factorization.

8640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8640480 is about 2939.4693398639. The cubic root of 8640480 is about 205.2009134774.

The spelling of 8640480 in words is "eight million, six hundred forty thousand, four hundred eighty".