826718670 has 256 divisors, whose sum is σ = 2508226560. Its totient is φ = 192614400.

The previous prime is 826718663. The next prime is 826718677. The reversal of 826718670 is 76817628.

It is an interprime number because it is at equal distance from previous prime (826718663) and next prime (826718677).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826718677) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4328275 + ... + 4328465.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2^826718670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826718670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254113280).

826718670 is an abundant number, since it is smaller than the sum of its proper divisors (1681507890).

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

826718670 is a wasteful number, since it uses less digits than its factorization.

826718670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 826718670 is about 28752.7158717224. The cubic root of 826718670 is about 938.5395572494.

The spelling of 826718670 in words is "eight hundred twenty-six million, seven hundred eighteen thousand, six hundred seventy".