820888488 has 48 divisors (see below), whose sum is σ = 2540846880. Its totient is φ = 234539424.

The previous prime is 820888477. The next prime is 820888493. The reversal of 820888488 is 884888028.

It is a happy number.

820888488 is a `hidden beast` number, since 82 + 0 + 8 + 88 + 488 = 666.

820888488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820888488² = 1347715819461852288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813870 + ... + 814877.

It is an arithmetic number, because the mean of its divisors is an integer number (52934310).

Almost surely, 2^820888488 is an apocalyptic number.

It is an amenable number.

820888488 is an abundant number, since it is smaller than the sum of its proper divisors (1719958392).

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

820888488 is a wasteful number, since it uses less digits than its factorization.

820888488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628766 (or 1628759 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 54.

The square root of 820888488 is about 28651.1515998921. The cubic root of 820888488 is about 936.3280955864.

The spelling of 820888488 in words is "eight hundred twenty million, eight hundred eighty-eight thousand, four hundred eighty-eight".