195035040 has 240 divisors, whose sum is σ = 699791400. Its totient is φ = 51148800.

The previous prime is 195035039. The next prime is 195035041. The reversal of 195035040 is 40530591.

195035040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195035039) and next prime (195035041).

It can be written as a sum of positive squares in 4 ways, for example, as 167029776 + 28005264 = 12924^2 + 5292^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 195034995 and 195035013.

It is not an unprimeable number, because it can be changed into a prime (195035041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308886 + ... + 1309034.

Almost surely, 2^195035040 is an apocalyptic number.

195035040 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 195035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349895700).

195035040 is an abundant number, since it is smaller than the sum of its proper divisors (504756360).

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

195035040 is a wasteful number, since it uses less digits than its factorization.

195035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 195035040 is about 13965.4946206713. The cubic root of 195035040 is about 579.9237315488.

The spelling of 195035040 in words is "one hundred ninety-five million, thirty-five thousand, forty".