195093360 has 800 divisors, whose sum is σ = 933368832. Its totient is φ = 36495360.

The previous prime is 195093329. The next prime is 195093361. The reversal of 195093360 is 63390591.

It is a super-2 number, since 2×195093360² = 76122838232179200, which contains 22 as substring.

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 (195093361) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 8482309 + ... + 8482331.

Almost surely, 2^195093360 is an apocalyptic number.

195093360 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 195093360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466684416).

195093360 is an abundant number, since it is smaller than the sum of its proper divisors (738275472).

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

195093360 is a wasteful number, since it uses less digits than its factorization.

195093360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 195093360 is about 13967.5824679864. The cubic root of 195093360 is about 579.9815293365.

The spelling of 195093360 in words is "one hundred ninety-five million, ninety-three thousand, three hundred sixty".