10857000 has 256 divisors, whose sum is σ = 43130880. Its totient is φ = 2208000.

The previous prime is 10856987. The next prime is 10857001. The reversal of 10857000 is 75801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230977 + ... + 231023.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 2^10857000 is an apocalyptic number.

10857000 is a gapful number since it is divisible by the number (10) 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 10857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440).

10857000 is an abundant number, since it is smaller than the sum of its proper divisors (32273880).

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

10857000 is a wasteful number, since it uses less digits than its factorization.

10857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 10857000 is about 3294.9962063711. The cubic root of 10857000 is about 221.4300777857.

The spelling of 10857000 in words is "ten million, eight hundred fifty-seven thousand".