1681927632 has 320 divisors, whose sum is σ = 6128179200. Its totient is φ = 428958720.

The previous prime is 1681927627. The next prime is 1681927651. The reversal of 1681927632 is 2367291861.

1681927632 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 9 + 2 + 7 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962148 + ... + 1963004.

It is an arithmetic number, because the mean of its divisors is an integer number (19150560).

Almost surely, 2^1681927632 is an apocalyptic number.

1681927632 is a gapful number since it is divisible by the number (12) 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 1681927632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064089600).

1681927632 is an abundant number, since it is smaller than the sum of its proper divisors (4446251568).

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

1681927632 is a wasteful number, since it uses less digits than its factorization.

1681927632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 939 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1681927632 is about 41011.3110251306. The cubic root of 1681927632 is about 1189.2388871704.

The spelling of 1681927632 in words is "one billion, six hundred eighty-one million, nine hundred twenty-seven thousand, six hundred thirty-two".