826580160 has 448 divisors, whose sum is σ = 3394252800. Its totient is φ = 185462784.

The previous prime is 826580143. The next prime is 826580189. The reversal of 826580160 is 61085628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4777834 + ... + 4778006.

Almost surely, 2^826580160 is an apocalyptic number.

826580160 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 826580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697126400).

826580160 is an abundant number, since it is smaller than the sum of its proper divisors (2567672640).

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

826580160 is a wasteful number, since it uses less digits than its factorization.

826580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 826580160 is about 28750.3071287943. The cubic root of 826580160 is about 938.4871394280.

The spelling of 826580160 in words is "eight hundred twenty-six million, five hundred eighty thousand, one hundred sixty".