8925600 has 72 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 2379520.

The previous prime is 8925599. The next prime is 8925617. The reversal of 8925600 is 65298.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541 + ... + 4259.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 2^8925600 is an apocalyptic number.

8925600 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 8925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

8925600 is an abundant number, since it is smaller than the sum of its proper divisors (20135040).

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

8925600 is a wasteful number, since it uses less digits than its factorization.

8925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 8925600 is about 2987.5742668593. The cubic root of 8925600 is about 207.4336169322.

The spelling of 8925600 in words is "eight million, nine hundred twenty-five thousand, six hundred".