852498864 has 480 divisors, whose sum is σ = 3175511040. Its totient is φ = 217147392.

The previous prime is 852498817. The next prime is 852498923. The reversal of 852498864 is 468894258.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 852498864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8276637 + ... + 8276739.

It is an arithmetic number, because the mean of its divisors is an integer number (6615648).

Almost surely, 2^852498864 is an apocalyptic number.

852498864 is a gapful number since it is divisible by the number (84) 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 852498864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587755520).

852498864 is an abundant number, since it is smaller than the sum of its proper divisors (2323012176).

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

852498864 is a wasteful number, since it uses less digits than its factorization.

852498864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 852498864 is about 29197.5831876544. The cubic root of 852498864 is about 948.1956013628.

The spelling of 852498864 in words is "eight hundred fifty-two million, four hundred ninety-eight thousand, eight hundred sixty-four".