195624960 has 136 divisors (see below), whose sum is σ = 629140800. Its totient is φ = 51904512.

The previous prime is 195624917. The next prime is 195624971. The reversal of 195624960 is 69426591.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982941 + ... + 983139.

Almost surely, 2^195624960 is an apocalyptic number.

195624960 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 195624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314570400).

195624960 is an abundant number, since it is smaller than the sum of its proper divisors (433515840).

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

195624960 is an frugal number, since it uses more digits than its factorization.

195624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 195624960 is about 13986.5993007593. The cubic root of 195624960 is about 580.5078390034.

The spelling of 195624960 in words is "one hundred ninety-five million, six hundred twenty-four thousand, nine hundred sixty".