1685632 has 32 divisors (see below), whose sum is σ = 3619980. Its totient is φ = 777216.

The previous prime is 1685627. The next prime is 1685681. The reversal of 1685632 is 2365861.

It can be written as a sum of positive squares in 2 ways, for example, as 1201216 + 484416 = 1096^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1685594 and 1685603.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1158 + ... + 2170.

2^1685632 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 1685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809990).

1685632 is an abundant number, since it is smaller than the sum of its proper divisors (1934348).

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

1685632 is a wasteful number, since it uses less digits than its factorization.

1685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 1685632 is about 1298.3189130564. The cubic root of 1685632 is about 119.0111328238.

The spelling of 1685632 in words is "one million, six hundred eighty-five thousand, six hundred thirty-two".