827660160 has 256 divisors, whose sum is σ = 2958163200. Its totient is φ = 218695680.

The previous prime is 827660149. The next prime is 827660161. The reversal of 827660160 is 61066728.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827660161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3645967 + ... + 3646193.

It is an arithmetic number, because the mean of its divisors is an integer number (11555325).

Almost surely, 2^827660160 is an apocalyptic number.

827660160 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 827660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479081600).

827660160 is an abundant number, since it is smaller than the sum of its proper divisors (2130503040).

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

827660160 is a wasteful number, since it uses less digits than its factorization.

827660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 827660160 is about 28769.0834056283. The cubic root of 827660160 is about 938.8957003242.

The spelling of 827660160 in words is "eight hundred twenty-seven million, six hundred sixty thousand, one hundred sixty".