8385930 has 192 divisors, whose sum is σ = 28304640. Its totient is φ = 1741824.

The previous prime is 8385917. The next prime is 8385931. The reversal of 8385930 is 395838.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8385931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289156 + ... + 289184.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^8385930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8385930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8385930 is an abundant number, since it is smaller than the sum of its proper divisors (19918710).

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

8385930 is a wasteful number, since it uses less digits than its factorization.

8385930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8385930 is about 2895.8470263465. The cubic root of 8385930 is about 203.1657103413.

The spelling of 8385930 in words is "eight million, three hundred eighty-five thousand, nine hundred thirty".