196601328 has 360 divisors, whose sum is σ = 744260400. Its totient is φ = 47738880.

The previous prime is 196601299. The next prime is 196601333. The reversal of 196601328 is 823106691.

196601328 is a `hidden beast` number, since 19 + 6 + 601 + 32 + 8 = 666.

196601328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 196601292 and 196601301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1319398 + ... + 1319546.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2^196601328 is an apocalyptic number.

196601328 is a gapful number since it is divisible by the number (18) 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 196601328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372130200).

196601328 is an abundant number, since it is smaller than the sum of its proper divisors (547659072).

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

196601328 is a wasteful number, since it uses less digits than its factorization.

196601328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 196601328 is about 14021.4595531278. The cubic root of 196601328 is about 581.4720120339.

The spelling of 196601328 in words is "one hundred ninety-six million, six hundred one thousand, three hundred twenty-eight".