196483872 has 96 divisors (see below), whose sum is σ = 558327168. Its totient is φ = 60143616.

The previous prime is 196483759. The next prime is 196483877. The reversal of 196483872 is 278384691.

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

It is a super-2 number, since 2×196483872² = 77211823912224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (196483877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 390373 + ... + 390875.

It is an arithmetic number, because the mean of its divisors is an integer number (5815908).

Almost surely, 2^196483872 is an apocalyptic number.

196483872 is a gapful number since it is divisible by the number (12) 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 196483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279163584).

196483872 is an abundant number, since it is smaller than the sum of its proper divisors (361843296).

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

196483872 is a wasteful number, since it uses less digits than its factorization.

196483872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 196483872 is about 14017.2704903630. The cubic root of 196483872 is about 581.3561922293.

The spelling of 196483872 in words is "one hundred ninety-six million, four hundred eighty-three thousand, eight hundred seventy-two".