196580160 has 336 divisors, whose sum is σ = 792480000. Its totient is φ = 44706816.

The previous prime is 196580159. The next prime is 196580161. The reversal of 196580160 is 61085691.

196580160 is a `hidden beast` number, since 19 + 6 + 580 + 1 + 60 = 666.

196580160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196580159) and next prime (196580161).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196580161) 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, 987741 + ... + 987939.

Almost surely, 2^196580160 is an apocalyptic number.

196580160 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 196580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396240000).

196580160 is an abundant number, since it is smaller than the sum of its proper divisors (595899840).

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

196580160 is a wasteful number, since it uses less digits than its factorization.

196580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 196580160 is about 14020.7046898506. The cubic root of 196580160 is about 581.4511423184.

The spelling of 196580160 in words is "one hundred ninety-six million, five hundred eighty thousand, one hundred sixty".