820010352 has 80 divisors (see below), whose sum is σ = 2526266880. Its totient is φ = 224100096.

The previous prime is 820010339. The next prime is 820010353. The reversal of 820010352 is 253010028.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820010353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45327 + ... + 60782.

It is an arithmetic number, because the mean of its divisors is an integer number (31578336).

Almost surely, 2^820010352 is an apocalyptic number.

It is an amenable number.

820010352 is an abundant number, since it is smaller than the sum of its proper divisors (1706256528).

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

820010352 is a wasteful number, since it uses less digits than its factorization.

820010352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106150 (or 106144 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 820010352 is about 28635.8228797428. The cubic root of 820010352 is about 935.9941010659.

The spelling of 820010352 in words is "eight hundred twenty million, ten thousand, three hundred fifty-two".