196511120 has 40 divisors (see below), whose sum is σ = 492036216. Its totient is φ = 72557568.

The previous prime is 196511101. The next prime is 196511191. The reversal of 196511120 is 21115691.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 194993296 = 1232^2 + 13964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 196511120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93437 + ... + 95516.

Almost surely, 2^196511120 is an apocalyptic number.

196511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196511120 is an abundant number, since it is smaller than the sum of its proper divisors (295525096).

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

196511120 is a wasteful number, since it uses less digits than its factorization.

196511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188979 (or 188973 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 26.

The square root of 196511120 is about 14018.2424005294. The cubic root of 196511120 is about 581.3830647679.

The spelling of 196511120 in words is "one hundred ninety-six million, five hundred eleven thousand, one hundred twenty".