195344640 has 216 divisors, whose sum is σ = 698949888. Its totient is φ = 50319360.

The previous prime is 195344629. The next prime is 195344651. The reversal of 195344640 is 46443591.

195344640 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 4 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (195344629) and next prime (195344651).

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

It is a junction number, because it is equal to n+sod(n) for n = 195344595 and 195344604.

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 23 ways as a sum of consecutive naturals, for example, 356847 + ... + 357393.

Almost surely, 2^195344640 is an apocalyptic number.

195344640 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 195344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349474944).

195344640 is an abundant number, since it is smaller than the sum of its proper divisors (503605248).

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

195344640 is a wasteful number, since it uses less digits than its factorization.

195344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 195344640 is about 13976.5746876694. The cubic root of 195344640 is about 580.2304276646.

The spelling of 195344640 in words is "one hundred ninety-five million, three hundred forty-four thousand, six hundred forty".