196646400 has 240 divisors, whose sum is σ = 723056400. Its totient is φ = 52346880.

The previous prime is 196646399. The next prime is 196646413. The reversal of 196646400 is 4646691.

196646400 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 345316 + ... + 345884.

It is an arithmetic number, because the mean of its divisors is an integer number (3012735).

Almost surely, 2^196646400 is an apocalyptic number.

196646400 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 196646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361528200).

196646400 is an abundant number, since it is smaller than the sum of its proper divisors (526410000).

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

196646400 is an equidigital number, since it uses as much as digits as its factorization.

196646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 196646400 is about 14023.0667116719. The cubic root of 196646400 is about 581.5164439209.

The spelling of 196646400 in words is "one hundred ninety-six million, six hundred forty-six thousand, four hundred".