196053120 has 192 divisors, whose sum is σ = 685727640. Its totient is φ = 51609600.

The previous prime is 196053119. The next prime is 196053133. The reversal of 196053120 is 21350691.

196053120 is a `hidden beast` number, since 1 + 9 + 605 + 31 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 179989056 + 16064064 = 13416^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581592 + ... + 581928.

Almost surely, 2^196053120 is an apocalyptic number.

196053120 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 196053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342863820).

196053120 is an abundant number, since it is smaller than the sum of its proper divisors (489674520).

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

196053120 is a wasteful number, since it uses less digits than its factorization.

196053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 196053120 is about 14001.8970143335. The cubic root of 196053120 is about 580.9310452657.

The spelling of 196053120 in words is "one hundred ninety-six million, fifty-three thousand, one hundred twenty".