1993801104 has 75 divisors (see below), whose sum is σ = 5672871815. Its totient is φ = 653705280.

The previous prime is 1993801097. The next prime is 1993801111. The reversal of 1993801104 is 4011083991.

The square root of 1993801104 is 44652.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1993801097) and next prime (1993801111).

It can be written as a sum of positive squares in 2 ways, for example, as 1742895504 + 250905600 = 41748^2 + 15840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32685234 + ... + 32685294.

Almost surely, 2^1993801104 is an apocalyptic number.

1993801104 is the 44652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993801104

1993801104 is an abundant number, since it is smaller than the sum of its proper divisors (3679070711).

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

1993801104 is an frugal number, since it uses more digits than its factorization.

1993801104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The cubic root of 1993801104 is about 1258.6180161450.

Multiplying 1993801104 by its sum of digits (36), we get a square (71776839744 = 267912²).

1993801104 divided by its sum of digits (36) gives a square (55383364 = 7442²).

The spelling of 1993801104 in words is "one billion, nine hundred ninety-three million, eight hundred one thousand, one hundred four".