192393216 has 156 divisors (see below), whose sum is σ = 590341752. Its totient is φ = 60162048.

The previous prime is 192393209. The next prime is 192393217. The reversal of 192393216 is 612393291.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (192393217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626535 + ... + 626841.

It is an arithmetic number, because the mean of its divisors is an integer number (3784242).

Almost surely, 2^192393216 is an apocalyptic number.

192393216 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 192393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295170876).

192393216 is an abundant number, since it is smaller than the sum of its proper divisors (397948536).

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

192393216 is a wasteful number, since it uses less digits than its factorization.

192393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 192393216 is about 13870.5881634486. The cubic root of 192393216 is about 577.2933898563.

The spelling of 192393216 in words is "one hundred ninety-two million, three hundred ninety-three thousand, two hundred sixteen".