857441664 has 96 divisors (see below), whose sum is σ = 2495399400. Its totient is φ = 282568704.

The previous prime is 857441659. The next prime is 857441677. The reversal of 857441664 is 466144758.

857441664 is a `hidden beast` number, since 8 + 574 + 4 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98347 + ... + 106709.

Almost surely, 2^857441664 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 857441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247699700).

857441664 is an abundant number, since it is smaller than the sum of its proper divisors (1637957736).

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

857441664 is a wasteful number, since it uses less digits than its factorization.

857441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8457 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 857441664 is about 29282.1048423777. The cubic root of 857441664 is about 950.0246213379.

The spelling of 857441664 in words is "eight hundred fifty-seven million, four hundred forty-one thousand, six hundred sixty-four".