8680089600 has 1440 divisors, whose sum is σ = 41288607360. Its totient is φ = 1751777280.

The previous prime is 8680089553. The next prime is 8680089641. The reversal of 8680089600 is 69800868.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 377395189 + ... + 377395211.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 2^8680089600 is an apocalyptic number.

8680089600 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 8680089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644303680).

8680089600 is an abundant number, since it is smaller than the sum of its proper divisors (32608517760).

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

8680089600 is a wasteful number, since it uses less digits than its factorization.

8680089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8680089600 is about 93166.9984490216. The cubic root of 8680089600 is about 2055.1399553038.

8680089600 divided by its product of nonzero digits (165888) gives a palindrome (52325).

It can be divided in two parts, 86800 and 89600, that added together give a square (176400 = 420²).

The spelling of 8680089600 in words is "eight billion, six hundred eighty million, eighty-nine thousand, six hundred".