1993582368 has 90 divisors (see below), whose sum is σ = 5869763361. Its totient is φ = 663769728.

The previous prime is 1993582291. The next prime is 1993582369. The reversal of 1993582368 is 8632853991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1993582368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1722914064 + 270668304 = 41508^2 + 16452^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31572.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1993582369) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2272746 + ... + 2273622.

Almost surely, 2^1993582368 is an apocalyptic number.

1993582368 is a gapful number since it is divisible by the number (18) 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 1993582368

1993582368 is an abundant number, since it is smaller than the sum of its proper divisors (3876180993).

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

1993582368 is an frugal number, since it uses more digits than its factorization.

1993582368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 882 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 1993582368 is about 44649.5505912434. The cubic root of 1993582368 is about 1258.5719876255.

The spelling of 1993582368 in words is "one billion, nine hundred ninety-three million, five hundred eighty-two thousand, three hundred sixty-eight".