857864160 has 144 divisors (see below), whose sum is σ = 2964911040. Its totient is φ = 225838080.

The previous prime is 857864153. The next prime is 857864191. The reversal of 857864160 is 61468758.

It is a happy number.

857864160 is a `hidden beast` number, since 8 + 578 + 64 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109990 + ... + 117530.

It is an arithmetic number, because the mean of its divisors is an integer number (20589660).

Almost surely, 2^857864160 is an apocalyptic number.

857864160 is a gapful number since it is divisible by the number (80) 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 857864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482455520).

857864160 is an abundant number, since it is smaller than the sum of its proper divisors (2107046880).

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

857864160 is a wasteful number, since it uses less digits than its factorization.

857864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 857864160 is about 29289.3181894014. The cubic root of 857864160 is about 950.1806341652.

The spelling of 857864160 in words is "eight hundred fifty-seven million, eight hundred sixty-four thousand, one hundred sixty".