820919292 has 12 divisors (see below), whose sum is σ = 1915478376. Its totient is φ = 273639760.

The previous prime is 820919251. The next prime is 820919293. The reversal of 820919292 is 292919028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820919293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34204959 + ... + 34204982.

It is an arithmetic number, because the mean of its divisors is an integer number (159623198).

Almost surely, 2^820919292 is an apocalyptic number.

It is an amenable number.

820919292 is an abundant number, since it is smaller than the sum of its proper divisors (1094559084).

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

820919292 is a wasteful number, since it uses less digits than its factorization.

820919292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68409948 (or 68409946 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 820919292 is about 28651.6891648643. The cubic root of 820919292 is about 936.3398074045.

The spelling of 820919292 in words is "eight hundred twenty million, nine hundred nineteen thousand, two hundred ninety-two".