193682016 has 120 divisors (see below), whose sum is σ = 621487944. Its totient is φ = 58682880.

The previous prime is 193681993. The next prime is 193682023. The reversal of 193682016 is 610286391.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25116 + ... + 31908.

Almost surely, 2^193682016 is an apocalyptic number.

193682016 is a gapful number since it is divisible by the number (16) 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 193682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310743972).

193682016 is an abundant number, since it is smaller than the sum of its proper divisors (427805928).

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

193682016 is a wasteful number, since it uses less digits than its factorization.

193682016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 193682016 is about 13916.9686354464. The cubic root of 193682016 is about 578.5795761345.

The spelling of 193682016 in words is "one hundred ninety-three million, six hundred eighty-two thousand, sixteen".