8839964160 has 400 divisors, whose sum is σ = 32084553600. Its totient is φ = 2325970944.

The previous prime is 8839964101. The next prime is 8839964183. The reversal of 8839964160 is 614699388.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8839964097 and 8839964106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18454801 + ... + 18455279.

It is an arithmetic number, because the mean of its divisors is an integer number (80211384).

Almost surely, 2^8839964160 is an apocalyptic number.

8839964160 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 8839964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042276800).

8839964160 is an abundant number, since it is smaller than the sum of its proper divisors (23244589440).

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

8839964160 is an equidigital number, since it uses as much as digits as its factorization.

8839964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 8839964160 is about 94021.0835929899. The cubic root of 8839964160 is about 2067.6808304897.

The spelling of 8839964160 in words is "eight billion, eight hundred thirty-nine million, nine hundred sixty-four thousand, one hundred sixty".