820006074 has 36 divisors (see below), whose sum is σ = 1857306906. Its totient is φ = 261448176.

The previous prime is 820006049. The next prime is 820006093. The reversal of 820006074 is 470600028.

It can be written as a sum of positive squares in only one way, i.e., 819963225 + 42849 = 28635^2 + 207^2 .

It is a super-2 number, since 2×820006074² = 1344819922793786952, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 33537 + ... + 52580.

Almost surely, 2^820006074 is an apocalyptic number.

820006074 is an abundant number, since it is smaller than the sum of its proper divisors (1037300832).

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

820006074 is a wasteful number, since it uses less digits than its factorization.

820006074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86171 (or 86145 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 820006074 is about 28635.7481829967. The cubic root of 820006074 is about 935.9924733670.

The spelling of 820006074 in words is "eight hundred twenty million, six thousand, seventy-four".