196281120 has 96 divisors (see below), whose sum is σ = 706624128. Its totient is φ = 44863488.

The previous prime is 196281097. The next prime is 196281143. The reversal of 196281120 is 21182691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (196281097) and next prime (196281143).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25849 + ... + 32568.

It is an arithmetic number, because the mean of its divisors is an integer number (7360668).

Almost surely, 2^196281120 is an apocalyptic number.

196281120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196281120 is an abundant number, since it is smaller than the sum of its proper divisors (510343008).

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

196281120 is a wasteful number, since it uses less digits than its factorization.

196281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58442 (or 58434 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 196281120 is about 14010.0364025223. The cubic root of 196281120 is about 581.1561559675.

The spelling of 196281120 in words is "one hundred ninety-six million, two hundred eighty-one thousand, one hundred twenty".