195340416 has 64 divisors (see below), whose sum is σ = 520877280. Its totient is φ = 64862208.

The previous prime is 195340367. The next prime is 195340447. The reversal of 195340416 is 614043591.

195340416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×195340416³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117060 + ... + 118716.

Almost surely, 2^195340416 is an apocalyptic number.

195340416 is a gapful number since it is divisible by the number (16) 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 195340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260438640).

195340416 is an abundant number, since it is smaller than the sum of its proper divisors (325536864).

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

195340416 is a wasteful number, since it uses less digits than its factorization.

195340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 195340416 is about 13976.4235768669. The cubic root of 195340416 is about 580.2262454647.

It can be divided in two parts, 19 and 5340416, that added together give a palindrome (5340435).

The spelling of 195340416 in words is "one hundred ninety-five million, three hundred forty thousand, four hundred sixteen".