684480 has 112 divisors (see below), whose sum is σ = 2340864. Its totient is φ = 168960.

The previous prime is 684473. The next prime is 684493. The reversal of 684480 is 84486.

684480 = T₁₄₉ + T₁₅₀ + ... + T₁₉₄.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

684480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22065 + ... + 22095.

2⁶⁸⁴⁴⁸⁰ is an apocalyptic number.

684480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170432).

684480 is an abundant number, since it is smaller than the sum of its proper divisors (1656384).

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

684480 is a wasteful number, since it uses less digits than its factorization.

684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 684480 is about 827.3330647327. Note that the first 3 decimals coincide. The cubic root of 684480 is about 88.1292865477.

The spelling of 684480 in words is "six hundred eighty-four thousand, four hundred eighty".