8614880 has 48 divisors (see below), whose sum is σ = 21246624. Its totient is φ = 3294720.

The previous prime is 8614873. The next prime is 8614883. The reversal of 8614880 is 884168.

It is a self number, because there is not a number n which added to its sum of digits gives 8614880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8614883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2510 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (442638).

Almost surely, 2^8614880 is an apocalyptic number.

8614880 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 8614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623312).

8614880 is an abundant number, since it is smaller than the sum of its proper divisors (12631744).

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

8614880 is a wasteful number, since it uses less digits than its factorization.

8614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 8614880 is about 2935.1115822060. Note that the first 3 decimals coincide. The cubic root of 8614880 is about 204.9980566939.

The spelling of 8614880 in words is "eight million, six hundred fourteen thousand, eight hundred eighty".