684084987 has 32 divisors (see below), whose sum is σ = 1072320000. Its totient is φ = 429818400.

The previous prime is 684084931. The next prime is 684085033. The reversal of 684084987 is 789480486.

It is not a de Polignac number, because 684084987 - 2⁶ = 684084923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (684084917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98737 + ... + 105437.

It is an arithmetic number, because the mean of its divisors is an integer number (33510000).

Almost surely, 2^684084987 is an apocalyptic number.

684084987 is a deficient number, since it is larger than the sum of its proper divisors (388235013).

684084987 is a wasteful number, since it uses less digits than its factorization.

684084987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 684084987 is about 26155.0183903587. The cubic root of 684084987 is about 881.1233016586.

The spelling of 684084987 in words is "six hundred eighty-four million, eighty-four thousand, nine hundred eighty-seven".