8461880 has 64 divisors (see below), whose sum is σ = 22256640. Its totient is φ = 2835072.

The previous prime is 8461877. The next prime is 8461891. The reversal of 8461880 is 881648.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 8461880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12839 + ... + 13481.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 2^8461880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8461880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128320).

8461880 is an abundant number, since it is smaller than the sum of its proper divisors (13794760).

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

8461880 is a wasteful number, since it uses less digits than its factorization.

8461880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

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

The square root of 8461880 is about 2908.9310751546. The cubic root of 8461880 is about 203.7772141752. Note that the first 3 decimals are identical.

The spelling of 8461880 in words is "eight million, four hundred sixty-one thousand, eight hundred eighty".