196920864 has 288 divisors, whose sum is σ = 693463680. Its totient is φ = 51757056.

The previous prime is 196920863. The next prime is 196920881. The reversal of 196920864 is 468029691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (196920863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2030064 + ... + 2030160.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^196920864 is an apocalyptic number.

196920864 is a gapful number since it is divisible by the number (14) 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 196920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

196920864 is an abundant number, since it is smaller than the sum of its proper divisors (496542816).

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

196920864 is a wasteful number, since it uses less digits than its factorization.

196920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 196920864 is about 14032.8494611750. The cubic root of 196920864 is about 581.7868635368.

The spelling of 196920864 in words is "one hundred ninety-six million, nine hundred twenty thousand, eight hundred sixty-four".