8670972240 has 400 divisors, whose sum is σ = 36232859520. Its totient is φ = 1877437440.

The previous prime is 8670972203. The next prime is 8670972241. The reversal of 8670972240 is 422790768.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8670972241) 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 79 ways as a sum of consecutive naturals, for example, 856810 + ... + 866870.

Almost surely, 2^8670972240 is an apocalyptic number.

8670972240 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 8670972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116429760).

8670972240 is an abundant number, since it is smaller than the sum of its proper divisors (27561887280).

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

8670972240 is a wasteful number, since it uses less digits than its factorization.

8670972240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8670972240 is about 93118.0553920667. The cubic root of 8670972240 is about 2054.4201464855.

The spelling of 8670972240 in words is "eight billion, six hundred seventy million, nine hundred seventy-two thousand, two hundred forty".