8970685920 has 288 divisors, whose sum is σ = 35063788032. Its totient is φ = 2045869056.

The previous prime is 8970685909. The next prime is 8970685921. The reversal of 8970685920 is 295860798.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8970685921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6883989 + ... + 6885291.

It is an arithmetic number, because the mean of its divisors is an integer number (121749264).

Almost surely, 2^8970685920 is an apocalyptic number.

8970685920 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 8970685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17531894016).

8970685920 is an abundant number, since it is smaller than the sum of its proper divisors (26093102112).

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

8970685920 is a wasteful number, since it uses less digits than its factorization.

8970685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 8970685920 is about 94713.7050273085. The cubic root of 8970685920 is about 2077.8230058141.

The spelling of 8970685920 in words is "eight billion, nine hundred seventy million, six hundred eighty-five thousand, nine hundred twenty".