1695780240 has 240 divisors, whose sum is σ = 6671626560. Its totient is φ = 352343040.

The previous prime is 1695780239. The next prime is 1695780323. The reversal of 1695780240 is 420875961.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 1695780192 and 1695780201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122806 + ... + 135914.

It is an arithmetic number, because the mean of its divisors is an integer number (27798444).

Almost surely, 2^1695780240 is an apocalyptic number.

1695780240 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 1695780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335813280).

1695780240 is an abundant number, since it is smaller than the sum of its proper divisors (4975846320).

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

1695780240 is a wasteful number, since it uses less digits than its factorization.

1695780240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1695780240 is about 41179.8523552477. The cubic root of 1695780240 is about 1192.4948810701.

The spelling of 1695780240 in words is "one billion, six hundred ninety-five million, seven hundred eighty thousand, two hundred forty".