195216000 has 384 divisors, whose sum is σ = 761866560. Its totient is φ = 44083200.

The previous prime is 195215989. The next prime is 195216011. The reversal of 195216000 is 612591.

It is an interprime number because it is at equal distance from previous prime (195215989) and next prime (195216011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351959 + ... + 2352041.

Almost surely, 2^195216000 is an apocalyptic number.

195216000 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 195216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380933280).

195216000 is an abundant number, since it is smaller than the sum of its proper divisors (566650560).

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

195216000 is an equidigital number, since it uses as much as digits as its factorization.

195216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 195216000 is about 13971.9719438596. The cubic root of 195216000 is about 580.1030336179.

Adding to 195216000 its reverse (612591), we get a palindrome (195828591).

The spelling of 195216000 in words is "one hundred ninety-five million, two hundred sixteen thousand".