195564000 has 192 divisors, whose sum is σ = 657296640. Its totient is φ = 50803200.

The previous prime is 195563993. The next prime is 195564041. The reversal of 195564000 is 465591.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515811 + ... + 516189.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^195564000 is an apocalyptic number.

195564000 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 195564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

195564000 is an abundant number, since it is smaller than the sum of its proper divisors (461732640).

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

195564000 is a wasteful number, since it uses less digits than its factorization.

195564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 195564000 is about 13984.4199021625. The cubic root of 195564000 is about 580.4475340977.

The spelling of 195564000 in words is "one hundred ninety-five million, five hundred sixty-four thousand".