196336400 has 120 divisors (see below), whose sum is σ = 538106184. Its totient is φ = 68198400.

The previous prime is 196336379. The next prime is 196336411. The reversal of 196336400 is 4633691.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 43665664 + 152670736 = 6608^2 + 12356^2 .

It is a congruent number.

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, 87290 + ... + 89510.

Almost surely, 2^196336400 is an apocalyptic number.

196336400 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 196336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269053092).

196336400 is an abundant number, since it is smaller than the sum of its proper divisors (341769784).

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

196336400 is a wasteful number, since it uses less digits than its factorization.

196336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 196336400 is about 14012.0091350241. The cubic root of 196336400 is about 581.2107091798.

It can be divided in two parts, 196 and 336400, that multiplied together give a square (65934400 = 8120²).

The spelling of 196336400 in words is "one hundred ninety-six million, three hundred thirty-six thousand, four hundred".