195890240 has 252 divisors, whose sum is σ = 603819468. Its totient is φ = 59996160.

The previous prime is 195890237. The next prime is 195890243. The reversal of 195890240 is 42098591.

It is an interprime number because it is at equal distance from previous prime (195890237) and next prime (195890243).

It can be written as a sum of positive squares in 2 ways, for example, as 48219136 + 147671104 = 6944^2 + 12152^2 .

It is a super-2 number, since 2×195890240² = 76745972254515200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 195890194 and 195890203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195890243) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6319025 + ... + 6319055.

It is an arithmetic number, because the mean of its divisors is an integer number (2396109).

Almost surely, 2^195890240 is an apocalyptic number.

195890240 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 195890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301909734).

195890240 is an abundant number, since it is smaller than the sum of its proper divisors (407929228).

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

195890240 is a wasteful number, since it uses less digits than its factorization.

195890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 195890240 is about 13996.0794510463. The cubic root of 195890240 is about 580.7701224427.

The spelling of 195890240 in words is "one hundred ninety-five million, eight hundred ninety thousand, two hundred forty".