195379200 has 270 divisors, whose sum is σ = 713075454. Its totient is φ = 51118080.

The previous prime is 195379199. The next prime is 195379201. The reversal of 195379200 is 2973591.

It is an interprime number because it is at equal distance from previous prime (195379199) and next prime (195379201).

It can be written as a sum of positive squares in 3 ways, for example, as 24920064 + 170459136 = 4992^2 + 13056^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195379201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686374 + ... + 3686426.

Almost surely, 2^195379200 is an apocalyptic number.

195379200 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 195379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356537727).

195379200 is an abundant number, since it is smaller than the sum of its proper divisors (517696254).

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

195379200 is an equidigital number, since it uses as much as digits as its factorization.

195379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 195379200 is about 13977.8109874186. The cubic root of 195379200 is about 580.2646433993.

The spelling of 195379200 in words is "one hundred ninety-five million, three hundred seventy-nine thousand, two hundred".