857964 has 48 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 262080.

The previous prime is 857963. The next prime is 857977. The reversal of 857964 is 469758.

857964 = T₃₁ + T₃₂ + ... + T₁₇₂.

857964 = 73² + 74² + ... + 143².

It is a super-2 number, since 2×857964² = 1472204450592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (857963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12049 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁸⁵⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

857964 is an abundant number, since it is smaller than the sum of its proper divisors (1319316).

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

857964 is a wasteful number, since it uses less digits than its factorization.

857964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 857964 is about 926.2634614406. The cubic root of 857964 is about 95.0217494063.

The spelling of 857964 in words is "eight hundred fifty-seven thousand, nine hundred sixty-four".