820026405 has 48 divisors (see below), whose sum is σ = 1553520384. Its totient is φ = 396839040.

The previous prime is 820026397. The next prime is 820026407. The reversal of 820026405 is 504620028.

It is not a de Polignac number, because 820026405 - 2³ = 820026397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820026407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333892 + ... + 336338.

It is an arithmetic number, because the mean of its divisors is an integer number (32365008).

Almost surely, 2^820026405 is an apocalyptic number.

It is an amenable number.

820026405 is a deficient number, since it is larger than the sum of its proper divisors (733493979).

820026405 is a wasteful number, since it uses less digits than its factorization.

820026405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 820026405 is about 28636.1031741402. The cubic root of 820026405 is about 936.0002088812. Note that the first 3 decimals are identical.

The spelling of 820026405 in words is "eight hundred twenty million, twenty-six thousand, four hundred five".