820609512 has 16 divisors (see below), whose sum is σ = 2051523840. Its totient is φ = 273536496.

The previous prime is 820609507. The next prime is 820609513. The reversal of 820609512 is 215906028.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (820609513) 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 3 ways as a sum of consecutive naturals, for example, 17096008 + ... + 17096055.

It is an arithmetic number, because the mean of its divisors is an integer number (128220240).

Almost surely, 2^820609512 is an apocalyptic number.

It is an amenable number.

820609512 is an abundant number, since it is smaller than the sum of its proper divisors (1230914328).

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

820609512 is a wasteful number, since it uses less digits than its factorization.

820609512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34192072 (or 34192068 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 820609512 is about 28646.2826907786. The cubic root of 820609512 is about 936.2220143233. Note that the first 3 decimals are identical.

It can be divided in two parts, 820609 and 512, that added together give a triangular number (821121 = T₁₂₈₁).

The spelling of 820609512 in words is "eight hundred twenty million, six hundred nine thousand, five hundred twelve".