65807040 has 112 divisors (see below), whose sum is σ = 225052128. Its totient is φ = 16195584.

The previous prime is 65807039. The next prime is 65807041. The reversal of 65807040 is 4070856.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65807039) and next prime (65807041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65806989 and 65807007.

It is not an unprimeable number, because it can be changed into a prime (65807041) 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 15 ways as a sum of consecutive naturals, for example, 9844 + ... + 15116.

It is an arithmetic number, because the mean of its divisors is an integer number (2009394).

Almost surely, 2^65807040 is an apocalyptic number.

65807040 is a gapful number since it is divisible by the number (60) 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 65807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112526064).

65807040 is an abundant number, since it is smaller than the sum of its proper divisors (159245088).

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

65807040 is a wasteful number, since it uses less digits than its factorization.

65807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 65807040 is about 8112.1538446950. The cubic root of 65807040 is about 403.7297804161.

Adding to 65807040 its reverse (4070856), we get a palindrome (69877896).

The spelling of 65807040 in words is "sixty-five million, eight hundred seven thousand, forty".