820734966 has 24 divisors (see below), whose sum is σ = 1821632904. Its totient is φ = 266905440.

The previous prime is 820734923. The next prime is 820734973. The reversal of 820734966 is 669437028.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 555316 + ... + 556791.

It is an arithmetic number, because the mean of its divisors is an integer number (75901371).

Almost surely, 2^820734966 is an apocalyptic number.

820734966 is an abundant number, since it is smaller than the sum of its proper divisors (1000897938).

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

820734966 is a wasteful number, since it uses less digits than its factorization.

820734966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112156 (or 1112153 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 820734966 is about 28648.4723152911. The cubic root of 820734966 is about 936.2697214686.

The spelling of 820734966 in words is "eight hundred twenty million, seven hundred thirty-four thousand, nine hundred sixty-six".