826850664 has 96 divisors (see below), whose sum is σ = 2390731200. Its totient is φ = 257402880.

The previous prime is 826850663. The next prime is 826850671. The reversal of 826850664 is 466058628.

826850664 is a `hidden beast` number, since 82 + 6 + 8 + 506 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (826850663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92872 + ... + 101384.

It is an arithmetic number, because the mean of its divisors is an integer number (24903450).

Almost surely, 2^826850664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826850664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195365600).

826850664 is an abundant number, since it is smaller than the sum of its proper divisors (1563880536).

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

826850664 is a wasteful number, since it uses less digits than its factorization.

826850664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 826850664 is about 28755.0111111090. The cubic root of 826850664 is about 938.5895037033.

The spelling of 826850664 in words is "eight hundred twenty-six million, eight hundred fifty thousand, six hundred sixty-four".