852681920 has 112 divisors (see below), whose sum is σ = 2202899328. Its totient is φ = 313098240.

The previous prime is 852681901. The next prime is 852681931. The reversal of 852681920 is 29186258.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221129 + ... + 224951.

It is an arithmetic number, because the mean of its divisors is an integer number (19668744).

Almost surely, 2^852681920 is an apocalyptic number.

852681920 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 852681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101449664).

852681920 is an abundant number, since it is smaller than the sum of its proper divisors (1350217408).

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

852681920 is a wasteful number, since it uses less digits than its factorization.

852681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 852681920 is about 29200.7177993966. The cubic root of 852681920 is about 948.2634647853.

The spelling of 852681920 in words is "eight hundred fifty-two million, six hundred eighty-one thousand, nine hundred twenty".