820175616 has 216 divisors, whose sum is σ = 2578015440. Its totient is φ = 249274368.

The previous prime is 820175569. The next prime is 820175621. The reversal of 820175616 is 616571028.

820175616 is a `hidden beast` number, since 8 + 20 + 17 + 5 + 616 = 666.

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 23 ways as a sum of consecutive naturals, for example, 4163230 + ... + 4163426.

Almost surely, 2^820175616 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 820175616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289007720).

820175616 is an abundant number, since it is smaller than the sum of its proper divisors (1757839824).

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

820175616 is a wasteful number, since it uses less digits than its factorization.

820175616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 820175616 is about 28638.7083507619. The cubic root of 820175616 is about 936.0569765886.

The spelling of 820175616 in words is "eight hundred twenty million, one hundred seventy-five thousand, six hundred sixteen".