196893800 has 72 divisors (see below), whose sum is σ = 478803990. Its totient is φ = 75292800.

The previous prime is 196893773. The next prime is 196893821. The reversal of 196893800 is 8398691.

It can be written as a sum of positive squares in 3 ways, for example, as 73994404 + 122899396 = 8602^2 + 11086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104870 + ... + 106730.

Almost surely, 2^196893800 is an apocalyptic number.

196893800 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 196893800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239401995).

196893800 is an abundant number, since it is smaller than the sum of its proper divisors (281910190).

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

196893800 is a wasteful number, since it uses less digits than its factorization.

196893800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 196893800 is about 14031.8851192561. The cubic root of 196893800 is about 581.7602095115.

The spelling of 196893800 in words is "one hundred ninety-six million, eight hundred ninety-three thousand, eight hundred".