684120 has 32 divisors (see below), whose sum is σ = 2052720. Its totient is φ = 182400.

The previous prime is 684119. The next prime is 684121. The reversal of 684120 is 21486.

It is an interprime number because it is at equal distance from previous prime (684119) and next prime (684121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2731 + ... + 2970.

2⁶⁸⁴¹²⁰ is an apocalyptic number.

684120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

684120 is an abundant number, since it is smaller than the sum of its proper divisors (1368600).

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

684120 is a wasteful number, since it uses less digits than its factorization.

684120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 684120 is about 827.1154695688. The cubic root of 684120 is about 88.1138334023.

The spelling of 684120 in words is "six hundred eighty-four thousand, one hundred twenty".