856406340 has 72 divisors (see below), whose sum is σ = 2600259480. Its totient is φ = 228155904.

The previous prime is 856406281. The next prime is 856406359. The reversal of 856406340 is 43604658.

856406340 is a `hidden beast` number, since 8 + 5 + 640 + 6 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 680896836 = 13248^2 + 26094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 856406295 and 856406304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288142 + ... + 291098.

It is an arithmetic number, because the mean of its divisors is an integer number (36114715).

Almost surely, 2^856406340 is an apocalyptic number.

It is an amenable number.

856406340 is an abundant number, since it is smaller than the sum of its proper divisors (1743853140).

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

856406340 is a wasteful number, since it uses less digits than its factorization.

856406340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 856406340 is about 29264.4210603935. The cubic root of 856406340 is about 949.6420960201.

The spelling of 856406340 in words is "eight hundred fifty-six million, four hundred six thousand, three hundred forty".