1684072 has 16 divisors (see below), whose sum is σ = 3400740. Its totient is φ = 777216.

The previous prime is 1684063. The next prime is 1684079. The reversal of 1684072 is 2704861.

It can be written as a sum of positive squares in 2 ways, for example, as 1653796 + 30276 = 1286^2 + 174^2 .

It is a d-powerful number, because it can be written as 1 + 6⁸ + 8 + 4⁶ + 0 + 7³ + 2³ .

It is a self number, because there is not a number n which added to its sum of digits gives 1684072.

It is not an unprimeable number, because it can be changed into a prime (1684079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7993 + ... + 8200.

2^1684072 is an apocalyptic number.

It is an amenable number.

1684072 is an abundant number, since it is smaller than the sum of its proper divisors (1716668).

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

1684072 is a wasteful number, since it uses less digits than its factorization.

1684072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16212 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1684072 is about 1297.7179971011. The cubic root of 1684072 is about 118.9744077912.

The spelling of 1684072 in words is "one million, six hundred eighty-four thousand, seventy-two".