1993186560 has 144 divisors (see below), whose sum is σ = 6390034560. Its totient is φ = 529489920.

The previous prime is 1993186553. The next prime is 1993186577. The reversal of 1993186560 is 656813991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193406 + ... + 1195074.

It is an arithmetic number, because the mean of its divisors is an integer number (44375240).

Almost surely, 2^1993186560 is an apocalyptic number.

1993186560 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 1993186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195017280).

1993186560 is an abundant number, since it is smaller than the sum of its proper divisors (4396848000).

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

1993186560 is a wasteful number, since it uses less digits than its factorization.

1993186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1993186560 is about 44645.1179861808. The cubic root of 1993186560 is about 1258.4886893646.

It can be divided in two parts, 19931 and 86560, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 1993186560 in words is "one billion, nine hundred ninety-three million, one hundred eighty-six thousand, five hundred sixty".