826913664 has 256 divisors, whose sum is σ = 2596838400. Its totient is φ = 258508800.

The previous prime is 826913551. The next prime is 826913671. The reversal of 826913664 is 466319628.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8028237 + ... + 8028339.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2^826913664 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 826913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298419200).

826913664 is an abundant number, since it is smaller than the sum of its proper divisors (1769924736).

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

826913664 is a wasteful number, since it uses less digits than its factorization.

826913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 826913664 is about 28756.1065514788. The cubic root of 826913664 is about 938.6133409932.

The spelling of 826913664 in words is "eight hundred twenty-six million, nine hundred thirteen thousand, six hundred sixty-four".