820413692 has 24 divisors (see below), whose sum is σ = 1727187840. Its totient is φ = 333100080.

The previous prime is 820413637. The next prime is 820413709. The reversal of 820413692 is 296314028.

820413692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770534 + ... + 771597.

It is an arithmetic number, because the mean of its divisors is an integer number (71966160).

Almost surely, 2^820413692 is an apocalyptic number.

It is an amenable number.

820413692 is an abundant number, since it is smaller than the sum of its proper divisors (906774148).

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

820413692 is a wasteful number, since it uses less digits than its factorization.

820413692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542161 (or 1542159 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 820413692 is about 28642.8645913777. The cubic root of 820413692 is about 936.1475389580.

The spelling of 820413692 in words is "eight hundred twenty million, four hundred thirteen thousand, six hundred ninety-two".