993741144 has 128 divisors (see below), whose sum is σ = 2819577600. Its totient is φ = 289103360.

The previous prime is 993741143. The next prime is 993741157. The reversal of 993741144 is 441147399.

It is a super-2 number, since 2×993741144² = 1975042922556857472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993741096 and 993741105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993741143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2242987 + ... + 2243429.

It is an arithmetic number, because the mean of its divisors is an integer number (22027950).

Almost surely, 2^993741144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993741144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409788800).

993741144 is an abundant number, since it is smaller than the sum of its proper divisors (1825836456).

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

993741144 is a wasteful number, since it uses less digits than its factorization.

993741144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 993741144 is about 31523.6600666864. The cubic root of 993741144 is about 997.9093468822.

The spelling of 993741144 in words is "nine hundred ninety-three million, seven hundred forty-one thousand, one hundred forty-four".