1993117680 has 240 divisors, whose sum is σ = 6863560704. Its totient is φ = 518192640.

The previous prime is 1993117663. The next prime is 1993117681. The reversal of 1993117680 is 867113991.

1993117680 is a `hidden beast` number, since 199 + 311 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993117681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6492087 + ... + 6492393.

Almost surely, 2^1993117680 is an apocalyptic number.

1993117680 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 1993117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431780352).

1993117680 is an abundant number, since it is smaller than the sum of its proper divisors (4870443024).

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

1993117680 is a wasteful number, since it uses less digits than its factorization.

1993117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1993117680 is about 44644.3465625828. The cubic root of 1993117680 is about 1258.4741923608.

The spelling of 1993117680 in words is "one billion, nine hundred ninety-three million, one hundred seventeen thousand, six hundred eighty".