1684608 has 64 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 542720.

The previous prime is 1684607. The next prime is 1684609. The reversal of 1684608 is 8064861.

It is an interprime number because it is at equal distance from previous prime (1684607) and next prime (1684609).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1684608³ = 14342267919333851136, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1684607) 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, 15691 + ... + 15797.

2^1684608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

1684608 is an abundant number, since it is smaller than the sum of its proper divisors (2942112).

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

1684608 is a wasteful number, since it uses less digits than its factorization.

1684608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1684608 is about 1297.9244970336. The cubic root of 1684608 is about 118.9870286923.

The spelling of 1684608 in words is "one million, six hundred eighty-four thousand, six hundred eight".