196516320 has 384 divisors, whose sum is σ = 833172480. Its totient is φ = 37601280.

The previous prime is 196516303. The next prime is 196516337. The reversal of 196516320 is 23615691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (196516303) and next prime (196516337).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480276 + ... + 480684.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 2^196516320 is an apocalyptic number.

196516320 is a gapful number since it is divisible by the number (10) 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 196516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416586240).

196516320 is an abundant number, since it is smaller than the sum of its proper divisors (636656160).

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

196516320 is a wasteful number, since it uses less digits than its factorization.

196516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 196516320 is about 14018.4278719120. The cubic root of 196516320 is about 581.3881928327.

The spelling of 196516320 in words is "one hundred ninety-six million, five hundred sixteen thousand, three hundred twenty".