196432000 has 64 divisors (see below), whose sum is σ = 488418840. Its totient is φ = 78566400.

The previous prime is 196431973. The next prime is 196432031. The reversal of 196432000 is 234691.

It can be written as a sum of positive squares in 4 ways, for example, as 20286016 + 176145984 = 4504^2 + 13272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 7 ways as a sum of consecutive naturals, for example, 9862 + ... + 22138.

Almost surely, 2^196432000 is an apocalyptic number.

196432000 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 196432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244209420).

196432000 is an abundant number, since it is smaller than the sum of its proper divisors (291986840).

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

196432000 is an equidigital number, since it uses as much as digits as its factorization.

196432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 196432000 is about 14015.4200793269. The cubic root of 196432000 is about 581.3050281274.

Adding to 196432000 its reverse (234691), we get a palindrome (196666691).

The spelling of 196432000 in words is "one hundred ninety-six million, four hundred thirty-two thousand".