1993264000 has 384 divisors, whose sum is σ = 6268691520. Its totient is φ = 613785600.

The previous prime is 1993263949. The next prime is 1993264001. The reversal of 1993264000 is 4623991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993264001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53871982 + ... + 53872018.

Almost surely, 2^1993264000 is an apocalyptic number.

1993264000 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 1993264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134345760).

1993264000 is an abundant number, since it is smaller than the sum of its proper divisors (4275427520).

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

1993264000 is an equidigital number, since it uses as much as digits as its factorization.

1993264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1993264000 is about 44645.9852618351. The cubic root of 1993264000 is about 1258.5049875717.

Adding to 1993264000 its reverse (4623991), we get a palindrome (1997887991).

The spelling of 1993264000 in words is "one billion, nine hundred ninety-three million, two hundred sixty-four thousand".