8385552 has 160 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 2305152.

The previous prime is 8385551. The next prime is 8385557. The reversal of 8385552 is 2555838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8385551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142099 + ... + 142157.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^8385552 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 8385552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

8385552 is an abundant number, since it is smaller than the sum of its proper divisors (20184048).

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

8385552 is a wasteful number, since it uses less digits than its factorization.

8385552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 8385552 is about 2895.7817597326. The cubic root of 8385552 is about 203.1626576966.

The spelling of 8385552 in words is "eight million, three hundred eighty-five thousand, five hundred fifty-two".