8291913120 has 288 divisors, whose sum is σ = 30594170880. Its totient is φ = 2037934080.

The previous prime is 8291913067. The next prime is 8291913143. The reversal of 8291913120 is 213191928.

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

It is a super-3 number, since 3×8291913120³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008225 + ... + 1016415.

It is an arithmetic number, because the mean of its divisors is an integer number (106229760).

Almost surely, 2^8291913120 is an apocalyptic number.

8291913120 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 8291913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297085440).

8291913120 is an abundant number, since it is smaller than the sum of its proper divisors (22302257760).

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

8291913120 is a wasteful number, since it uses less digits than its factorization.

8291913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 8291913120 is about 91059.9424555056. The cubic root of 8291913120 is about 2024.0360698056.

The spelling of 8291913120 in words is "eight billion, two hundred ninety-one million, nine hundred thirteen thousand, one hundred twenty".