857668000 has 96 divisors (see below), whose sum is σ = 2408410368. Its totient is φ = 294048000.

The previous prime is 857667997. The next prime is 857668013. The reversal of 857668000 is 866758.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12685 + ... + 43315.

It is an arithmetic number, because the mean of its divisors is an integer number (25087608).

Almost surely, 2^857668000 is an apocalyptic number.

857668000 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 857668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204205184).

857668000 is an abundant number, since it is smaller than the sum of its proper divisors (1550742368).

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

857668000 is a wasteful number, since it uses less digits than its factorization.

857668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30663 (or 30645 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 857668000 is about 29285.9693368685. The cubic root of 857668000 is about 950.1082055881.

The spelling of 857668000 in words is "eight hundred fifty-seven million, six hundred sixty-eight thousand".