196610400 has 432 divisors, whose sum is σ = 818947584. Its totient is φ = 43453440.

The previous prime is 196610383. The next prime is 196610441. The reversal of 196610400 is 4016691.

196610400 is a `hidden beast` number, since 1 + 9 + 6 + 610 + 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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2368759 + ... + 2368841.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^196610400 is an apocalyptic number.

196610400 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 196610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

196610400 is an abundant number, since it is smaller than the sum of its proper divisors (622337184).

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

196610400 is a wasteful number, since it uses less digits than its factorization.

196610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 196610400 is about 14021.7830535207. The cubic root of 196610400 is about 581.4809557391.

The spelling of 196610400 in words is "one hundred ninety-six million, six hundred ten thousand, four hundred".