852876864 has 280 divisors, whose sum is σ = 3043895360. Its totient is φ = 230667264.

The previous prime is 852876853. The next prime is 852876881. The reversal of 852876864 is 468678258.

852876864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 852876864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688854 + ... + 690090.

Almost surely, 2^852876864 is an apocalyptic number.

852876864 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 852876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521947680).

852876864 is an abundant number, since it is smaller than the sum of its proper divisors (2191018496).

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

852876864 is a wasteful number, since it uses less digits than its factorization.

852876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1268 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 852876864 is about 29204.0556087678. The cubic root of 852876864 is about 948.3357247072.

The spelling of 852876864 in words is "eight hundred fifty-two million, eight hundred seventy-six thousand, eight hundred sixty-four".