195632640 has 240 divisors, whose sum is σ = 774959328. Its totient is φ = 44679168.

The previous prime is 195632611. The next prime is 195632669. The reversal of 195632640 is 46236591.

It is a happy number.

195632640 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (195632611) and next prime (195632669).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×195632640³ (a number of 26 digits) contains 333 as substring.

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 = 195632595 and 195632604.

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 23 ways as a sum of consecutive naturals, for example, 160674 + ... + 161886.

Almost surely, 2^195632640 is an apocalyptic number.

195632640 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 195632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387479664).

195632640 is an abundant number, since it is smaller than the sum of its proper divisors (579326688).

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

195632640 is a wasteful number, since it uses less digits than its factorization.

195632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 195632640 is about 13986.8738465749. The cubic root of 195632640 is about 580.5154355832.

It can be divided in two parts, 1956 and 32640, that added together give a square (34596 = 186²).

The spelling of 195632640 in words is "one hundred ninety-five million, six hundred thirty-two thousand, six hundred forty".