857129364 has 180 divisors, whose sum is σ = 2807713524. Its totient is φ = 226001664.

The previous prime is 857129359. The next prime is 857129389. The reversal of 857129364 is 463921758.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 803722500 = 7308^2 + 28350^2 .

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 204312 + ... + 208464.

Almost surely, 2^857129364 is an apocalyptic number.

857129364 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 857129364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403856762).

857129364 is an abundant number, since it is smaller than the sum of its proper divisors (1950584160).

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

857129364 is a wasteful number, since it uses less digits than its factorization.

857129364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4178 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 857129364 is about 29276.7717482649. The cubic root of 857129364 is about 949.9092670501.

The spelling of 857129364 in words is "eight hundred fifty-seven million, one hundred twenty-nine thousand, three hundred sixty-four".