684607 has 16 divisors (see below), whose sum is σ = 905472. Its totient is φ = 501120.

The previous prime is 684599. The next prime is 684617. The reversal of 684607 is 706486.

It is a cyclic number.

It is not a de Polignac number, because 684607 - 2³ = 684599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048 + ... + 1570.

It is an arithmetic number, because the mean of its divisors is an integer number (56592).

2⁶⁸⁴⁶⁰⁷ is an apocalyptic number.

684607 is a deficient number, since it is larger than the sum of its proper divisors (220865).

684607 is a wasteful number, since it uses less digits than its factorization.

684607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 684607 is about 827.4098138166. The cubic root of 684607 is about 88.1347367811.

The spelling of 684607 in words is "six hundred eighty-four thousand, six hundred seven".