820195488 has 144 divisors (see below), whose sum is σ = 2730926016. Its totient is φ = 228602880.

The previous prime is 820195483. The next prime is 820195499. The reversal of 820195488 is 884591028.

It is a happy number.

820195488 is a `hidden beast` number, since 82 + 0 + 1 + 95 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (820195483) by changing a digit.

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, 77695 + ... + 87617.

It is an arithmetic number, because the mean of its divisors is an integer number (18964764).

Almost surely, 2^820195488 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 820195488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365463008).

820195488 is an abundant number, since it is smaller than the sum of its proper divisors (1910730528).

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

820195488 is a wasteful number, since it uses less digits than its factorization.

820195488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 820195488 is about 28639.0552916817. The cubic root of 820195488 is about 936.0645364224.

The spelling of 820195488 in words is "eight hundred twenty million, one hundred ninety-five thousand, four hundred eighty-eight".