1684080 has 60 divisors (see below), whose sum is σ = 5658120. Its totient is φ = 448896.

The previous prime is 1684079. The next prime is 1684091. The reversal of 1684080 is 804861.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1684080² = 5672250892800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (94302).

2^1684080 is an apocalyptic number.

1684080 is a gapful number since it is divisible by the number (10) 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 1684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829060).

1684080 is an abundant number, since it is smaller than the sum of its proper divisors (3974040).

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

1684080 is a wasteful number, since it uses less digits than its factorization.

1684080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1684080 is about 1297.7210794312. The cubic root of 1684080 is about 118.9745961826.

The spelling of 1684080 in words is "one million, six hundred eighty-four thousand, eighty".