1993267872 has 96 divisors (see below), whose sum is σ = 5835836160. Its totient is φ = 661893120.

The previous prime is 1993267823. The next prime is 1993267897. The reversal of 1993267872 is 2787623991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229888 + ... + 238400.

It is an arithmetic number, because the mean of its divisors is an integer number (60789960).

Almost surely, 2^1993267872 is an apocalyptic number.

1993267872 is a gapful number since it is divisible by the number (12) 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 1993267872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917918080).

1993267872 is an abundant number, since it is smaller than the sum of its proper divisors (3842568288).

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

1993267872 is a wasteful number, since it uses less digits than its factorization.

1993267872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8789 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 1993267872 is about 44646.0286251756. The cubic root of 1993267872 is about 1258.5058024710.

The spelling of 1993267872 in words is "one billion, nine hundred ninety-three million, two hundred sixty-seven thousand, eight hundred seventy-two".