1681012032 has 168 divisors, whose sum is σ = 5205825504. Its totient is φ = 477324288.

The previous prime is 1681012001. The next prime is 1681012097. The reversal of 1681012032 is 2302101861.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1681011993 and 1681012011.

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 23 ways as a sum of consecutive naturals, for example, 1852923 + ... + 1853829.

Almost surely, 2^1681012032 is an apocalyptic number.

1681012032 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 1681012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602912752).

1681012032 is an abundant number, since it is smaller than the sum of its proper divisors (3524813472).

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

1681012032 is a wasteful number, since it uses less digits than its factorization.

1681012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1681012032 is about 41000.1467314448. The cubic root of 1681012032 is about 1189.0230505417.

Adding to 1681012032 its reverse (2302101861), we get a palindrome (3983113893).

The spelling of 1681012032 in words is "one billion, six hundred eighty-one million, twelve thousand, thirty-two".