196142016 has 112 divisors (see below), whose sum is σ = 624392960. Its totient is φ = 53084160.

The previous prime is 196141987. The next prime is 196142033. The reversal of 196142016 is 610241691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 21696 + ... + 29376.

Almost surely, 2^196142016 is an apocalyptic number.

196142016 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 196142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312196480).

196142016 is an abundant number, since it is smaller than the sum of its proper divisors (428250944).

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

196142016 is a wasteful number, since it uses less digits than its factorization.

196142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 196142016 is about 14005.0710815761. The cubic root of 196142016 is about 581.0188354911.

The spelling of 196142016 in words is "one hundred ninety-six million, one hundred forty-two thousand, sixteen".