828065160 has 128 divisors (see below), whose sum is σ = 2972592000. Its totient is φ = 203827968.

The previous prime is 828065153. The next prime is 828065191. The reversal of 828065160 is 61560828.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15450 + ... + 43529.

It is an arithmetic number, because the mean of its divisors is an integer number (23223375).

Almost surely, 2^828065160 is an apocalyptic number.

It is an amenable number.

828065160 is an abundant number, since it is smaller than the sum of its proper divisors (2144526840).

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

828065160 is a wasteful number, since it uses less digits than its factorization.

828065160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59012 (or 59002 counting only the distinct ones).

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

The square root of 828065160 is about 28776.1213508701. The cubic root of 828065160 is about 939.0488190278.

The spelling of 828065160 in words is "eight hundred twenty-eight million, sixty-five thousand, one hundred sixty".