8729600 has 132 divisors (see below), whose sum is σ = 24367488. Its totient is φ = 3072000.

The previous prime is 8729593. The next prime is 8729603. The reversal of 8729600 is 69278.

8729600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8729603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281585 + ... + 281615.

Almost surely, 2^8729600 is an apocalyptic number.

8729600 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 8729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183744).

8729600 is an abundant number, since it is smaller than the sum of its proper divisors (15637888).

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

8729600 is a wasteful number, since it uses less digits than its factorization.

8729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 8729600 is about 2954.5896500191. The cubic root of 8729600 is about 205.9039990046.

The spelling of 8729600 in words is "eight million, seven hundred twenty-nine thousand, six hundred".