8873835600 has 240 divisors, whose sum is σ = 32946462720. Its totient is φ = 1999603200.

The previous prime is 8873835589. The next prime is 8873835613. The reversal of 8873835600 is 65383788.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8873835600.

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, 588961 + ... + 603839.

It is an arithmetic number, because the mean of its divisors is an integer number (137276928).

Almost surely, 2^8873835600 is an apocalyptic number.

8873835600 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 8873835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473231360).

8873835600 is an abundant number, since it is smaller than the sum of its proper divisors (24072627120).

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

8873835600 is a wasteful number, since it uses less digits than its factorization.

8873835600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 8873835600 is about 94201.0382108393. The cubic root of 8873835600 is about 2070.3183248698.

The spelling of 8873835600 in words is "eight billion, eight hundred seventy-three million, eight hundred thirty-five thousand, six hundred".