196287168 has 336 divisors, whose sum is σ = 700503552. Its totient is φ = 47308800.

The previous prime is 196287107. The next prime is 196287187. The reversal of 196287168 is 861782691.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 2764573 + ... + 2764643.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^196287168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350251776).

196287168 is an abundant number, since it is smaller than the sum of its proper divisors (504216384).

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

196287168 is a wasteful number, since it uses less digits than its factorization.

196287168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 196287168 is about 14010.2522461232. The cubic root of 196287168 is about 581.1621249511.

It can be divided in two parts, 19628 and 7168, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 196287168 in words is "one hundred ninety-six million, two hundred eighty-seven thousand, one hundred sixty-eight".