195964416 has 180 divisors, whose sum is σ = 604200168. Its totient is φ = 61028352.

The previous prime is 195964409. The next prime is 195964427. The reversal of 195964416 is 614469591.

It is a happy number.

195964416 is a `hidden beast` number, since 1 + 9 + 596 + 44 + 16 = 666.

195964416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4557291 + ... + 4557333.

Almost surely, 2^195964416 is an apocalyptic number.

195964416 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 195964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302100084).

195964416 is an abundant number, since it is smaller than the sum of its proper divisors (408235752).

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

195964416 is an equidigital number, since it uses as much as digits as its factorization.

195964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 71 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 195964416 is about 13998.7290851706. The cubic root of 195964416 is about 580.8434181962.

The spelling of 195964416 in words is "one hundred ninety-five million, nine hundred sixty-four thousand, four hundred sixteen".