196238800 has 60 divisors (see below), whose sum is σ = 475037676. Its totient is φ = 77900800.

The previous prime is 196238789. The next prime is 196238813. The reversal of 196238800 is 8832691.

It can be written as a sum of positive squares in 6 ways, for example, as 3139984 + 193098816 = 1772^2 + 13896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 196238800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53010 + ... + 56590.

Almost surely, 2^196238800 is an apocalyptic number.

196238800 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 196238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237518838).

196238800 is an abundant number, since it is smaller than the sum of its proper divisors (278798876).

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

196238800 is a wasteful number, since it uses less digits than its factorization.

196238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 196238800 is about 14008.5259752766. The cubic root of 196238800 is about 581.1143854425.

The spelling of 196238800 in words is "one hundred ninety-six million, two hundred thirty-eight thousand, eight hundred".