196966080 has 336 divisors, whose sum is σ = 748893600. Its totient is φ = 49102848.

The previous prime is 196966069. The next prime is 196966087. The reversal of 196966080 is 80669691.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (196966087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321846 + ... + 1321994.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2^196966080 is an apocalyptic number.

196966080 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 196966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374446800).

196966080 is an abundant number, since it is smaller than the sum of its proper divisors (551927520).

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

196966080 is a wasteful number, since it uses less digits than its factorization.

196966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 196966080 is about 14034.4604456317. The cubic root of 196966080 is about 581.8313891415.

The spelling of 196966080 in words is "one hundred ninety-six million, nine hundred sixty-six thousand, eighty".