195924960 has 768 divisors, whose sum is σ = 928972800. Its totient is φ = 37324800.

The previous prime is 195924959. The next prime is 195924961. The reversal of 195924960 is 69429591.

195924960 is a `hidden beast` number, since 19 + 592 + 49 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (195924959) and next prime (195924961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195924961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6320145 + ... + 6320175.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^195924960 is an apocalyptic number.

195924960 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 195924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

195924960 is an abundant number, since it is smaller than the sum of its proper divisors (733047840).

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

195924960 is a wasteful number, since it uses less digits than its factorization.

195924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 195924960 is about 13997.3197434366. The cubic root of 195924960 is about 580.8044327235.

The spelling of 195924960 in words is "one hundred ninety-five million, nine hundred twenty-four thousand, nine hundred sixty".