8991075600 has 480 divisors, whose sum is σ = 36500163840. Its totient is φ = 2082447360.

The previous prime is 8991075589. The next prime is 8991075601. The reversal of 8991075600 is 65701998.

8991075600 is a `hidden beast` number, since 89 + 9 + 1 + 0 + 7 + 560 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (8991075601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2384917 + ... + 2388683.

It is an arithmetic number, because the mean of its divisors is an integer number (76042008).

Almost surely, 2^8991075600 is an apocalyptic number.

8991075600 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 8991075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250081920).

8991075600 is an abundant number, since it is smaller than the sum of its proper divisors (27509088240).

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

8991075600 is a wasteful number, since it uses less digits than its factorization.

8991075600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 8991075600 is about 94821.2824211949. The cubic root of 8991075600 is about 2079.3960586331.

The spelling of 8991075600 in words is "eight billion, nine hundred ninety-one million, seventy-five thousand, six hundred".