8904561120 has 384 divisors, whose sum is σ = 38359802880. Its totient is φ = 1878681600.

The previous prime is 8904561091. The next prime is 8904561139. The reversal of 8904561120 is 211654098.

8904561120 is a `hidden beast` number, since 8 + 90 + 4 + 561 + 1 + 2 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 381795 + ... + 404445.

It is an arithmetic number, because the mean of its divisors is an integer number (99895320).

Almost surely, 2^8904561120 is an apocalyptic number.

8904561120 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 8904561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179901440).

8904561120 is an abundant number, since it is smaller than the sum of its proper divisors (29455241760).

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

8904561120 is a wasteful number, since it uses less digits than its factorization.

8904561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22695 (or 22681 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8904561120 is about 94363.9821118206. The cubic root of 8904561120 is about 2072.7050541562.

The spelling of 8904561120 in words is "eight billion, nine hundred four million, five hundred sixty-one thousand, one hundred twenty".