857616144 has 160 divisors (see below), whose sum is σ = 2821533696. Its totient is φ = 217973760.

The previous prime is 857616143. The next prime is 857616173. The reversal of 857616144 is 441616758.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 857616096 and 857616105.

It is not an unprimeable number, because it can be changed into a prime (857616143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171244 + ... + 176180.

Almost surely, 2^857616144 is an apocalyptic number.

857616144 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 857616144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410766848).

857616144 is an abundant number, since it is smaller than the sum of its proper divisors (1963917552).

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

857616144 is a wasteful number, since it uses less digits than its factorization.

857616144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5007 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 857616144 is about 29285.0839848548. The cubic root of 857616144 is about 950.0890568405.

The spelling of 857616144 in words is "eight hundred fifty-seven million, six hundred sixteen thousand, one hundred forty-four".