1993144320 has 384 divisors, whose sum is σ = 7253064000. Its totient is φ = 525533184.

The previous prime is 1993144297. The next prime is 1993144339. The reversal of 1993144320 is 234413991.

1993144320 is a `hidden beast` number, since 19 + 9 + 314 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22394836 + ... + 22394924.

Almost surely, 2^1993144320 is an apocalyptic number.

1993144320 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 1993144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626532000).

1993144320 is an abundant number, since it is smaller than the sum of its proper divisors (5259919680).

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

1993144320 is an frugal number, since it uses more digits than its factorization.

1993144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1993144320 is about 44644.6449196317. The cubic root of 1993144320 is about 1258.4797992555.

The spelling of 1993144320 in words is "one billion, nine hundred ninety-three million, one hundred forty-four thousand, three hundred twenty".