196512 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 61952.

The previous prime is 196501. The next prime is 196519. The reversal of 196512 is 215691.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×196512² = 77233932288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (196519) by changing a digit.

196512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹⁹⁶⁵¹² is an apocalyptic number.

196512 is a gapful number since it is divisible by the number (12) 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 196512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

196512 is an abundant number, since it is smaller than the sum of its proper divisors (347808).

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

196512 is a wasteful number, since it uses less digits than its factorization.

196512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 196512 is about 443.2967403444. The cubic root of 196512 is about 58.1383932601.

The spelling of 196512 in words is "one hundred ninety-six thousand, five hundred twelve".