8870919120 has 960 divisors, whose sum is σ = 38477537280. Its totient is φ = 1854296064.

The previous prime is 8870919077. The next prime is 8870919163. The reversal of 8870919120 is 219190788.

It is an interprime number because it is at equal distance from previous prime (8870919077) and next prime (8870919163).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121519404 + ... + 121519476.

It is an arithmetic number, because the mean of its divisors is an integer number (40080768).

Almost surely, 2^8870919120 is an apocalyptic number.

8870919120 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 8870919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19238768640).

8870919120 is an abundant number, since it is smaller than the sum of its proper divisors (29606618160).

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

8870919120 is a wasteful number, since it uses less digits than its factorization.

8870919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 8870919120 is about 94185.5568545411. The cubic root of 8870919120 is about 2070.0914893401.

The spelling of 8870919120 in words is "eight billion, eight hundred seventy million, nine hundred nineteen thousand, one hundred twenty".