8385100 has 36 divisors (see below), whose sum is σ = 18467568. Its totient is φ = 3304000.

The previous prime is 8385073. The next prime is 8385101. The reversal of 8385100 is 15838.

8385100 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8385101) 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, 6510 + ... + 7690.

It is an arithmetic number, because the mean of its divisors is an integer number (512988).

Almost surely, 2^8385100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233784).

8385100 is an abundant number, since it is smaller than the sum of its proper divisors (10082468).

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

8385100 is a wasteful number, since it uses less digits than its factorization.

8385100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 8385100 is about 2895.7037141255. The cubic root of 8385100 is about 203.1590073239.

The spelling of 8385100 in words is "eight million, three hundred eighty-five thousand, one hundred".