193979016 has 256 divisors, whose sum is σ = 684288000. Its totient is φ = 49455360.

The previous prime is 193978969. The next prime is 193979021. The reversal of 193979016 is 610979391.

193979016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779570 + ... + 1779678.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2^193979016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193979016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342144000).

193979016 is an abundant number, since it is smaller than the sum of its proper divisors (490308984).

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

193979016 is a wasteful number, since it uses less digits than its factorization.

193979016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 193979016 is about 13927.6349751133. The cubic root of 193979016 is about 578.8751643670.

The spelling of 193979016 in words is "one hundred ninety-three million, nine hundred seventy-nine thousand, sixteen".