1993006000 has 80 divisors (see below), whose sum is σ = 4831164000. Its totient is φ = 795206400.

The previous prime is 1993005977. The next prime is 1993006079. The reversal of 1993006000 is 6003991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1993006000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997002 + ... + 998998.

It is an arithmetic number, because the mean of its divisors is an integer number (60389550).

Almost surely, 2^1993006000 is an apocalyptic number.

1993006000 is a gapful number since it is divisible by the number (10) 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 1993006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415582000).

1993006000 is an abundant number, since it is smaller than the sum of its proper divisors (2838158000).

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

1993006000 is a wasteful number, since it uses less digits than its factorization.

1993006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 1993006000 is about 44643.0957707908. The cubic root of 1993006000 is about 1258.4506866367.

Adding to 1993006000 its reverse (6003991), we get a palindrome (1999009991).

The spelling of 1993006000 in words is "one billion, nine hundred ninety-three million, six thousand".