196034400 has 216 divisors, whose sum is σ = 728156520. Its totient is φ = 49489920.

The previous prime is 196034393. The next prime is 196034411. The reversal of 196034400 is 4430691.

196034400 is a `hidden beast` number, since 19 + 603 + 4 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136084 + ... + 137516.

It is an arithmetic number, because the mean of its divisors is an integer number (3371095).

Almost surely, 2^196034400 is an apocalyptic number.

196034400 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 196034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364078260).

196034400 is an abundant number, since it is smaller than the sum of its proper divisors (532122120).

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

196034400 is a wasteful number, since it uses less digits than its factorization.

196034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 196034400 is about 14001.2285175266. The cubic root of 196034400 is about 580.9125547407.

The spelling of 196034400 in words is "one hundred ninety-six million, thirty-four thousand, four hundred".