8970127920 has 300 divisors, whose sum is σ = 33739554816. Its totient is φ = 2207761920.

The previous prime is 8970127889. The next prime is 8970127921. The reversal of 8970127920 is 297210798.

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

It is not an unprimeable number, because it can be changed into a prime (8970127921) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1091025 + ... + 1099215.

Almost surely, 2^8970127920 is an apocalyptic number.

8970127920 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 8970127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869777408).

8970127920 is an abundant number, since it is smaller than the sum of its proper divisors (24769426896).

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

8970127920 is a wasteful number, since it uses less digits than its factorization.

8970127920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 8970127920 is about 94710.7592620817. The cubic root of 8970127920 is about 2077.7799229221.

The spelling of 8970127920 in words is "eight billion, nine hundred seventy million, one hundred twenty-seven thousand, nine hundred twenty".