196401600 has 252 divisors, whose sum is σ = 729636336. Its totient is φ = 50012160.

The previous prime is 196401593. The next prime is 196401607. The reversal of 196401600 is 6104691.

196401600 is a `hidden beast` number, since 1 + 9 + 640 + 16 + 0 + 0 = 666.

196401600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196401593) and next prime (196401607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196401607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330904 + ... + 331496.

Almost surely, 2^196401600 is an apocalyptic number.

196401600 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 196401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364818168).

196401600 is an abundant number, since it is smaller than the sum of its proper divisors (533234736).

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

196401600 is a wasteful number, since it uses less digits than its factorization.

196401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 626 counting only the distinct ones).

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

The square root of 196401600 is about 14014.3355176048. The cubic root of 196401600 is about 581.2750388104.

The spelling of 196401600 in words is "one hundred ninety-six million, four hundred one thousand, six hundred".