8123961600 has 162 divisors, whose sum is σ = 29045202186. Its totient is φ = 2166374400.

The previous prime is 8123961589. The next prime is 8123961611. The reversal of 8123961600 is 61693218.

8123961600 is a `hidden beast` number, since 8 + 1 + 2 + 39 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8123961589) and next prime (8123961611).

It can be written as a sum of positive squares in 3 ways, for example, as 118722816 + 8005238784 = 10896^2 + 89472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12921 + ... + 128120.

Almost surely, 2^8123961600 is an apocalyptic number.

8123961600 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 8123961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522601093).

8123961600 is an abundant number, since it is smaller than the sum of its proper divisors (20921240586).

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

8123961600 is a wasteful number, since it uses less digits than its factorization.

8123961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141073 (or 141051 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8123961600 is about 90133.0216957137. The cubic root of 8123961600 is about 2010.2772321252.

The spelling of 8123961600 in words is "eight billion, one hundred twenty-three million, nine hundred sixty-one thousand, six hundred".