196598400 has 96 divisors (see below), whose sum is σ = 647577600. Its totient is φ = 52423680.

The previous prime is 196598393. The next prime is 196598407. The reversal of 196598400 is 4895691.

It is an interprime number because it is at equal distance from previous prime (196598393) and next prime (196598407).

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

It is not an unprimeable number, because it can be changed into a prime (196598407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640 + ... + 19839.

It is an arithmetic number, because the mean of its divisors is an integer number (6745600).

Almost surely, 2^196598400 is an apocalyptic number.

196598400 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 196598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323788800).

196598400 is an abundant number, since it is smaller than the sum of its proper divisors (450979200).

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

196598400 is a wasteful number, since it uses less digits than its factorization.

196598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506 (or 20489 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 196598400 is about 14021.3551413549. The cubic root of 196598400 is about 581.4691253825.

The spelling of 196598400 in words is "one hundred ninety-six million, five hundred ninety-eight thousand, four hundred".