8610480 has 60 divisors (see below), whose sum is σ = 28919280. Its totient is φ = 2295936.

The previous prime is 8610479. The next prime is 8610509. The reversal of 8610480 is 840168.

8610480 is a `hidden beast` number, since 8 + 610 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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, 5260 + ... + 6699.

It is an arithmetic number, because the mean of its divisors is an integer number (481988).

Almost surely, 2^8610480 is an apocalyptic number.

8610480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8610480 is an abundant number, since it is smaller than the sum of its proper divisors (20308800).

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

8610480 is a wasteful number, since it uses less digits than its factorization.

8610480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8610480 is about 2934.3619408655. The cubic root of 8610480 is about 204.9631502275.

The spelling of 8610480 in words is "eight million, six hundred ten thousand, four hundred eighty".