195416064 has 260 divisors, whose sum is σ = 634311040. Its totient is φ = 59719680.

The previous prime is 195416051. The next prime is 195416077. The reversal of 195416064 is 460614591.

195416064 is a `hidden beast` number, since 1 + 9 + 5 + 41 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (195416051) and next prime (195416077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6303729 + ... + 6303759.

Almost surely, 2^195416064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317155520).

195416064 is an abundant number, since it is smaller than the sum of its proper divisors (438894976).

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

195416064 is an equidigital number, since it uses as much as digits as its factorization.

195416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 195416064 is about 13979.1295866374. The cubic root of 195416064 is about 580.3011357360.

The spelling of 195416064 in words is "one hundred ninety-five million, four hundred sixteen thousand, sixty-four".