8014085600 has 144 divisors (see below), whose sum is σ = 20797106400. Its totient is φ = 3015587840.

The previous prime is 8014085593. The next prime is 8014085627. The reversal of 8014085600 is 65804108.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3929381 + ... + 3931419.

It is an arithmetic number, because the mean of its divisors is an integer number (144424350).

Almost surely, 2^8014085600 is an apocalyptic number.

8014085600 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 8014085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398553200).

8014085600 is an abundant number, since it is smaller than the sum of its proper divisors (12783020800).

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

8014085600 is a wasteful number, since it uses less digits than its factorization.

8014085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8014085600 is about 89521.4253684558. The cubic root of 8014085600 is about 2001.1731117699.

Adding to 8014085600 its reverse (65804108), we get a palindrome (8079889708).

The spelling of 8014085600 in words is "eight billion, fourteen million, eighty-five thousand, six hundred".