1993534000 has 80 divisors (see below), whose sum is σ = 4847877216. Its totient is φ = 792864000.

The previous prime is 1993533977. The next prime is 1993534031. The reversal of 1993534000 is 4353991.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 359247 + ... + 364753.

Almost surely, 2^1993534000 is an apocalyptic number.

1993534000 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 1993534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423938608).

1993534000 is an abundant number, since it is smaller than the sum of its proper divisors (2854343216).

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

1993534000 is a wasteful number, since it uses less digits than its factorization.

1993534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 1993534000 is about 44649.0089475679. The cubic root of 1993534000 is about 1258.5618091142.

Adding to 1993534000 its reverse (4353991), we get a palindrome (1997887991).

It can be divided in two parts, 19935 and 34000, that added together give a palindrome (53935).

The spelling of 1993534000 in words is "one billion, nine hundred ninety-three million, five hundred thirty-four thousand".