8642880 has 84 divisors (see below), whose sum is σ = 29737812. Its totient is φ = 2304000.

The previous prime is 8642863. The next prime is 8642897. The reversal of 8642880 is 882468.

8642880 is a `hidden beast` number, since 8 + 642 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8642863) and next prime (8642897).

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 4769856 = 1968^2 + 2184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1380 + ... + 4380.

Almost surely, 2^8642880 is an apocalyptic number.

8642880 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 8642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868906).

8642880 is an abundant number, since it is smaller than the sum of its proper divisors (21094932).

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

8642880 is a wasteful number, since it uses less digits than its factorization.

8642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8642880 is about 2939.8775484703. The cubic root of 8642880 is about 205.2199107477.

The spelling of 8642880 in words is "eight million, six hundred forty-two thousand, eight hundred eighty".