855819006 has 96 divisors (see below), whose sum is σ = 2109784320. Its totient is φ = 230275584.

The previous prime is 855819001. The next prime is 855819017. The reversal of 855819006 is 600918558.

855819006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855819001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452110 + ... + 453998.

It is an arithmetic number, because the mean of its divisors is an integer number (21976920).

Almost surely, 2^855819006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855819006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

855819006 is an abundant number, since it is smaller than the sum of its proper divisors (1253965314).

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

855819006 is a wasteful number, since it uses less digits than its factorization.

855819006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 855819006 is about 29254.3843893526. The cubic root of 855819006 is about 949.4249542970.

The spelling of 855819006 in words is "eight hundred fifty-five million, eight hundred nineteen thousand, six".