820494594306 has 32 divisors (see below), whose sum is σ = 1823685062400. Its totient is φ = 273443636880.

The previous prime is 820494594259. The next prime is 820494594331. The reversal of 820494594306 is 603495494028.

820494594306 is a `hidden beast` number, since 8 + 2 + 0 + 49 + 4 + 594 + 3 + 0 + 6 = 666.

It is a super-2 number, since 2×820494594306² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241946 + ... + 1784213.

It is an arithmetic number, because the mean of its divisors is an integer number (56990158200).

Almost surely, 2^820494594306 is an apocalyptic number.

820494594306 is an abundant number, since it is smaller than the sum of its proper divisors (1003190468094).

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

820494594306 is a wasteful number, since it uses less digits than its factorization.

820494594306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031191 (or 3031185 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 820494594306 in words is "eight hundred twenty billion, four hundred ninety-four million, five hundred ninety-four thousand, three hundred six".