196456320 has 128 divisors (see below), whose sum is σ = 695844000. Its totient is φ = 52383744.

The previous prime is 196456313. The next prime is 196456367. The reversal of 196456320 is 23654691.

It is a happy number.

196456320 is a `hidden beast` number, since 1 + 9 + 645 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11596 + ... + 22964.

Almost surely, 2^196456320 is an apocalyptic number.

196456320 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 196456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347922000).

196456320 is an abundant number, since it is smaller than the sum of its proper divisors (499387680).

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

196456320 is a wasteful number, since it uses less digits than its factorization.

196456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 196456320 is about 14016.2876682808. The cubic root of 196456320 is about 581.3290173533.

The spelling of 196456320 in words is "one hundred ninety-six million, four hundred fifty-six thousand, three hundred twenty".