857120 has 48 divisors (see below), whose sum is σ = 2213568. Its totient is φ = 311040.

The previous prime is 857107. The next prime is 857137. The reversal of 857120 is 21758.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 857120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (46116).

2⁸⁵⁷¹²⁰ is an apocalyptic number.

857120 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 857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106784).

857120 is an abundant number, since it is smaller than the sum of its proper divisors (1356448).

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

857120 is a wasteful number, since it uses less digits than its factorization.

857120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 857120 is about 925.8077554223. The cubic root of 857120 is about 94.9905807836.

Adding to 857120 its reverse (21758), we get a palindrome (878878).

The spelling of 857120 in words is "eight hundred fifty-seven thousand, one hundred twenty".