8960947200 has 792 divisors, whose sum is σ = 35637451200. Its totient is φ = 2141061120.

The previous prime is 8960947183. The next prime is 8960947211. The reversal of 8960947200 is 27490698.

It is a happy number.

It is a super-4 number, since 4×8960947200⁴ (a number of 41 digits) contains 4444 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100684756 + ... + 100684844.

Almost surely, 2^8960947200 is an apocalyptic number.

8960947200 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 8960947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818725600).

8960947200 is an abundant number, since it is smaller than the sum of its proper divisors (26676504000).

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

8960947200 is a wasteful number, since it uses less digits than its factorization.

8960947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8960947200 is about 94662.2797105584. The cubic root of 8960947200 is about 2077.0708276022.

The spelling of 8960947200 in words is "eight billion, nine hundred sixty million, nine hundred forty-seven thousand, two hundred".