196146720 has 576 divisors, whose sum is σ = 877443840. Its totient is φ = 38707200.

The previous prime is 196146701. The next prime is 196146751. The reversal of 196146720 is 27641691.

196146720 is a `hidden beast` number, since 19 + 614 + 6 + 7 + 20 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 3215490 + ... + 3215550.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^196146720 is an apocalyptic number.

196146720 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 196146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

196146720 is an abundant number, since it is smaller than the sum of its proper divisors (681297120).

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

196146720 is a wasteful number, since it uses less digits than its factorization.

196146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 196146720 is about 14005.2390197383. The cubic root of 196146720 is about 581.0234802392.

The spelling of 196146720 in words is "one hundred ninety-six million, one hundred forty-six thousand, seven hundred twenty".