856660000 has 240 divisors, whose sum is σ = 2503448640. Its totient is φ = 282240000.

The previous prime is 856659989. The next prime is 856660003. The reversal of 856660000 is 66658.

It is not an unprimeable number, because it can be changed into a prime (856660003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4059895 + ... + 4060105.

It is an arithmetic number, because the mean of its divisors is an integer number (10431036).

Almost surely, 2^856660000 is an apocalyptic number.

856660000 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 856660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251724320).

856660000 is an abundant number, since it is smaller than the sum of its proper divisors (1646788640).

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

856660000 is a wasteful number, since it uses less digits than its factorization.

856660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 856660000 is about 29268.7546711506. The cubic root of 856660000 is about 949.7358453008.

The spelling of 856660000 in words is "eight hundred fifty-six million, six hundred sixty thousand".