1681632 has 36 divisors (see below), whose sum is σ = 4782960. Its totient is φ = 560448.

The previous prime is 1681621. The next prime is 1681639. The reversal of 1681632 is 2361861.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1681596 and 1681605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2632 + ... + 3207.

It is an arithmetic number, because the mean of its divisors is an integer number (132860).

2^1681632 is an apocalyptic number.

1681632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1681632 is an abundant number, since it is smaller than the sum of its proper divisors (3101328).

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

1681632 is a wasteful number, since it uses less digits than its factorization.

1681632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5844 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1681632 is about 1296.7775445311. Note that the first 3 decimals coincide. The cubic root of 1681632 is about 118.9169205680.

The spelling of 1681632 in words is "one million, six hundred eighty-one thousand, six hundred thirty-two".