196416000 has 480 divisors, whose sum is σ = 796663296. Its totient is φ = 46080000.

The previous prime is 196415987. The next prime is 196416007. The reversal of 196416000 is 614691.

196416000 is a `hidden beast` number, since 19 + 6 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (196416007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6335985 + ... + 6336015.

Almost surely, 2^196416000 is an apocalyptic number.

196416000 is a gapful number since it is divisible by the number (10) 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 196416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398331648).

196416000 is an abundant number, since it is smaller than the sum of its proper divisors (600247296).

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

196416000 is a wasteful number, since it uses less digits than its factorization.

196416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

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

The square root of 196416000 is about 14014.8492678302. The cubic root of 196416000 is about 581.2892446621.

The spelling of 196416000 in words is "one hundred ninety-six million, four hundred sixteen thousand".