820174144 has 14 divisors (see below), whose sum is σ = 1627533194. Its totient is φ = 410087040.

The previous prime is 820174141. The next prime is 820174171. The reversal of 820174144 is 441471028.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 817960000 + 2214144 = 28600^2 + 1488^2 .

It is a super-2 number, since 2×820174144² = 1345371252972265472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820174141) 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 as a sum of consecutive naturals, namely, 6407547 + ... + 6407674.

It is an arithmetic number, because the mean of its divisors is an integer number (116252371).

Almost surely, 2^820174144 is an apocalyptic number.

It is an amenable number.

820174144 is a deficient number, since it is larger than the sum of its proper divisors (807359050).

820174144 is a wasteful number, since it uses less digits than its factorization.

820174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12815233 (or 12815223 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 820174144 is about 28638.6826512673. The cubic root of 820174144 is about 936.0564165961.

The spelling of 820174144 in words is "eight hundred twenty million, one hundred seventy-four thousand, one hundred forty-four".