1993977600 has 432 divisors, whose sum is σ = 7185477600. Its totient is φ = 484966400.

The previous prime is 1993977599. The next prime is 1993977613. The reversal of 1993977600 is 67793991.

1993977600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13382326 + ... + 13382474.

It is an arithmetic number, because the mean of its divisors is an integer number (16633050).

Almost surely, 2^1993977600 is an apocalyptic number.

1993977600 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 1993977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592738800).

1993977600 is an abundant number, since it is smaller than the sum of its proper divisors (5191500000).

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

1993977600 is a wasteful number, since it uses less digits than its factorization.

1993977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 51.

The square root of 1993977600 is about 44653.9763067076. The cubic root of 1993977600 is about 1258.6551536660.

The spelling of 1993977600 in words is "one billion, nine hundred ninety-three million, nine hundred seventy-seven thousand, six hundred".