8984160 has 144 divisors (see below), whose sum is σ = 32550336. Its totient is φ = 2248704.

The previous prime is 8984159. The next prime is 8984167. The reversal of 8984160 is 614898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8984167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24297 + ... + 24663.

It is an arithmetic number, because the mean of its divisors is an integer number (226044).

Almost surely, 2^8984160 is an apocalyptic number.

8984160 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 8984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275168).

8984160 is an abundant number, since it is smaller than the sum of its proper divisors (23566176).

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

8984160 is a wasteful number, since it uses less digits than its factorization.

8984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8984160 is about 2997.3588373767. The cubic root of 8984160 is about 207.8862790590.

The spelling of 8984160 in words is "eight million, nine hundred eighty-four thousand, one hundred sixty".