196416 has 84 divisors (see below), whose sum is σ = 633984. Its totient is φ = 57600.

The previous prime is 196387. The next prime is 196429. The reversal of 196416 is 614691.

196416 is a `hidden beast` number, since 19 + 641 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 196416.

It is a congruent number.

It is an unprimeable number.

196416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6321 + ... + 6351.

2¹⁹⁶⁴¹⁶ is an apocalyptic number.

196416 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 196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316992).

196416 is an abundant number, since it is smaller than the sum of its proper divisors (437568).

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

196416 is a wasteful number, since it uses less digits than its factorization.

196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 196416 is about 443.1884475029. The cubic root of 196416 is about 58.1289244662.

The spelling of 196416 in words is "one hundred ninety-six thousand, four hundred sixteen".