1993814208 has 168 divisors, whose sum is σ = 5868472896. Its totient is φ = 646963200.

The previous prime is 1993814203. The next prime is 1993814231. The reversal of 1993814208 is 8024183991.

1993814208 is a `hidden beast` number, since 199 + 38 + 1 + 420 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1993814201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7357113 + ... + 7357383.

Almost surely, 2^1993814208 is an apocalyptic number.

1993814208 is a gapful number since it is divisible by the number (18) 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 1993814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934236448).

1993814208 is an abundant number, since it is smaller than the sum of its proper divisors (3874658688).

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

1993814208 is a wasteful number, since it uses less digits than its factorization.

1993814208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1993814208 is about 44652.1467345076. The cubic root of 1993814208 is about 1258.6207735070.

The spelling of 1993814208 in words is "one billion, nine hundred ninety-three million, eight hundred fourteen thousand, two hundred eight".