8360601600 has 576 divisors, whose sum is σ = 30710534400. Its totient is φ = 1993605120.

The previous prime is 8360601539. The next prime is 8360601619. The reversal of 8360601600 is 61060638.

It is a super-2 number, since 2×8360601600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105830361 + ... + 105830439.

It is an arithmetic number, because the mean of its divisors is an integer number (53316900).

Almost surely, 2^8360601600 is an apocalyptic number.

8360601600 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 8360601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355267200).

8360601600 is an abundant number, since it is smaller than the sum of its proper divisors (22349932800).

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

8360601600 is a wasteful number, since it uses less digits than its factorization.

8360601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 8360601600 is about 91436.3253854834. The cubic root of 8360601600 is about 2029.6096056603.

It can be divided in two parts, 8360 and 601600, that added together give a triangular number (609960 = T₁₁₀₄).

The spelling of 8360601600 in words is "eight billion, three hundred sixty million, six hundred one thousand, six hundred".