828001660 has 48 divisors (see below), whose sum is σ = 1844537184. Its totient is φ = 311134208.

The previous prime is 828001619. The next prime is 828001663. The reversal of 828001660 is 66100828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828001663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207807 + ... + 211753.

It is an arithmetic number, because the mean of its divisors is an integer number (38427858).

Almost surely, 2^828001660 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 828001660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922268592).

828001660 is an abundant number, since it is smaller than the sum of its proper divisors (1016535524).

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

828001660 is a wasteful number, since it uses less digits than its factorization.

828001660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 828001660 is about 28775.0179843558. The cubic root of 828001660 is about 939.0248148282.

The spelling of 828001660 in words is "eight hundred twenty-eight million, one thousand, six hundred sixty".