1993161600 has 768 divisors, whose sum is σ = 8195904000. Its totient is φ = 470384640.

The previous prime is 1993161587. The next prime is 1993161607. The reversal of 1993161600 is 61613991.

1993161600 is a `hidden beast` number, since 1 + 9 + 9 + 31 + 616 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993161607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33782371 + ... + 33782429.

It is an arithmetic number, because the mean of its divisors is an integer number (10671750).

Almost surely, 2^1993161600 is an apocalyptic number.

1993161600 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 1993161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097952000).

1993161600 is an abundant number, since it is smaller than the sum of its proper divisors (6202742400).

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

1993161600 is a wasteful number, since it uses less digits than its factorization.

1993161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1993161600 is about 44644.8384474622. The cubic root of 1993161600 is about 1258.4834361335.

The spelling of 1993161600 in words is "one billion, nine hundred ninety-three million, one hundred sixty-one thousand, six hundred".