8854560 has 288 divisors, whose sum is σ = 36324288. Its totient is φ = 1935360.

The previous prime is 8854553. The next prime is 8854579. The reversal of 8854560 is 654588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205899 + ... + 205941.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 2^8854560 is an apocalyptic number.

8854560 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 8854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

8854560 is an abundant number, since it is smaller than the sum of its proper divisors (27469728).

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

8854560 is a wasteful number, since it uses less digits than its factorization.

8854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8854560 is about 2975.6612710455. The cubic root of 8854560 is about 206.8818201005.

It can be divided in two parts, 885 and 4560, that added together give a palindrome (5445).

The spelling of 8854560 in words is "eight million, eight hundred fifty-four thousand, five hundred sixty".