196536400 has 30 divisors (see below), whose sum is σ = 472179662. Its totient is φ = 78614400.

The previous prime is 196536397. The next prime is 196536401. The reversal of 196536400 is 4635691.

196536400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2547216 + 193989184 = 1596^2 + 13928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196536401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245271 + ... + 246070.

Almost surely, 2^196536400 is an apocalyptic number.

196536400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196536400 is an abundant number, since it is smaller than the sum of its proper divisors (275643262).

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

196536400 is a wasteful number, since it uses less digits than its factorization.

196536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491359 (or 491348 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 196536400 is about 14019.1440537573. The cubic root of 196536400 is about 581.4079942031.

The spelling of 196536400 in words is "one hundred ninety-six million, five hundred thirty-six thousand, four hundred".