1995727104 has 432 divisors, whose sum is σ = 7231835520. Its totient is φ = 516096000.

The previous prime is 1995727099. The next prime is 1995727117. The reversal of 1995727104 is 4017275991.

1995727104 is a `hidden beast` number, since 1 + 9 + 9 + 572 + 71 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1995727104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7950979 + ... + 7951229.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 2^1995727104 is an apocalyptic number.

1995727104 is a gapful number since it is divisible by the number (14) 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 1995727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615917760).

1995727104 is an abundant number, since it is smaller than the sum of its proper divisors (5236108416).

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

1995727104 is a wasteful number, since it uses less digits than its factorization.

1995727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 1995727104 is about 44673.5615772909. The cubic root of 1995727104 is about 1259.0231582223.

The spelling of 1995727104 in words is "one billion, nine hundred ninety-five million, seven hundred twenty-seven thousand, one hundred four".