1996932672 has 126 divisors (see below), whose sum is σ = 6658446678. Its totient is φ = 570544128.

The previous prime is 1996932653. The next prime is 1996932677. The reversal of 1996932672 is 2762396991.

1996932672 is a `hidden beast` number, since 199 + 69 + 326 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1467196416 + 529736256 = 38304^2 + 23016^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1996932677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7153 + ... + 63600.

Almost surely, 2^1996932672 is an apocalyptic number.

1996932672 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 1996932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329223339).

1996932672 is an abundant number, since it is smaller than the sum of its proper divisors (4661514006).

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

1996932672 is a wasteful number, since it uses less digits than its factorization.

1996932672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70785 (or 70765 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 1996932672 is about 44687.0526215368. The cubic root of 1996932672 is about 1259.2766218181.

The spelling of 1996932672 in words is "one billion, nine hundred ninety-six million, nine hundred thirty-two thousand, six hundred seventy-two".