197829216 has 288 divisors, whose sum is σ = 667779840. Its totient is φ = 57106944.

The previous prime is 197829209. The next prime is 197829293. The reversal of 197829216 is 612928791.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920621 + ... + 1920723.

It is an arithmetic number, because the mean of its divisors is an integer number (2318680).

Almost surely, 2^197829216 is an apocalyptic number.

197829216 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 197829216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333889920).

197829216 is an abundant number, since it is smaller than the sum of its proper divisors (469950624).

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

197829216 is a wasteful number, since it uses less digits than its factorization.

197829216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 197829216 is about 14065.1774251163. The cubic root of 197829216 is about 582.6800425853.

The spelling of 197829216 in words is "one hundred ninety-seven million, eight hundred twenty-nine thousand, two hundred sixteen".