193080672 has 120 divisors (see below), whose sum is σ = 572578776. Its totient is φ = 63825408.

The previous prime is 193080631. The next prime is 193080709. The reversal of 193080672 is 276080391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 422268 + ... + 422724.

Almost surely, 2^193080672 is an apocalyptic number.

193080672 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 193080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286289388).

193080672 is an abundant number, since it is smaller than the sum of its proper divisors (379498104).

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

193080672 is a wasteful number, since it uses less digits than its factorization.

193080672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 193080672 is about 13895.3471349225. The cubic root of 193080672 is about 577.9801639884.

Adding to 193080672 its product of nonzero digits (18144), we get a square (193098816 = 13896²).

The spelling of 193080672 in words is "one hundred ninety-three million, eighty thousand, six hundred seventy-two".