8864829120 has 336 divisors, whose sum is σ = 32940345600. Its totient is φ = 2013935616.

The previous prime is 8864829097. The next prime is 8864829121. The reversal of 8864829120 is 219284688.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8864829120.

It is not an unprimeable number, because it can be changed into a prime (8864829121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9360487 + ... + 9361433.

Almost surely, 2^8864829120 is an apocalyptic number.

8864829120 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 8864829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470172800).

8864829120 is an abundant number, since it is smaller than the sum of its proper divisors (24075516480).

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

8864829120 is a wasteful number, since it uses less digits than its factorization.

8864829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 8864829120 is about 94153.2215062236. The cubic root of 8864829120 is about 2069.6176660897.

The spelling of 8864829120 in words is "eight billion, eight hundred sixty-four million, eight hundred twenty-nine thousand, one hundred twenty".