196112016 has 75 divisors (see below), whose sum is σ = 569067961. Its totient is φ = 65202624.

The previous prime is 196112009. The next prime is 196112023. The reversal of 196112016 is 610211691.

The square root of 196112016 is 14004.

It is a perfect power (a square), and thus also a powerful number.

196112016 is a `hidden beast` number, since 19 + 611 + 20 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (196112009) and next prime (196112023).

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 149817600 = 6804^2 + 12240^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 503950 + ... + 504338.

Almost surely, 2^196112016 is an apocalyptic number.

196112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196112016 is the 14004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196112016

196112016 is an abundant number, since it is smaller than the sum of its proper divisors (372955945).

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

196112016 is an frugal number, since it uses more digits than its factorization.

196112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 196112016 is about 580.9892116261.

The spelling of 196112016 in words is "one hundred ninety-six million, one hundred twelve thousand, sixteen".