196070400 has 396 divisors, whose sum is σ = 752346192. Its totient is φ = 48660480.

The previous prime is 196070389. The next prime is 196070419. The reversal of 196070400 is 4070691.

196070400 is a `hidden beast` number, since 19 + 607 + 0 + 40 + 0 = 666.

196070400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5299182 + ... + 5299218.

Almost surely, 2^196070400 is an apocalyptic number.

196070400 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 196070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376173096).

196070400 is an abundant number, since it is smaller than the sum of its proper divisors (556275792).

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

196070400 is a wasteful number, since it uses less digits than its factorization.

196070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 196070400 is about 14002.5140599822. The cubic root of 196070400 is about 580.9481123979.

The spelling of 196070400 in words is "one hundred ninety-six million, seventy thousand, four hundred".