65675040 has 96 divisors (see below), whose sum is σ = 210361536. Its totient is φ = 17218560.

The previous prime is 65675023. The next prime is 65675069. The reversal of 65675040 is 4057656.

65675040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 65674992 and 65675010.

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 15 ways as a sum of consecutive naturals, for example, 28159 + ... + 30401.

It is an arithmetic number, because the mean of its divisors is an integer number (2191266).

Almost surely, 2^65675040 is an apocalyptic number.

65675040 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 65675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105180768).

65675040 is an abundant number, since it is smaller than the sum of its proper divisors (144686496).

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

65675040 is a wasteful number, since it uses less digits than its factorization.

65675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 65675040 is about 8104.0138203239. The cubic root of 65675040 is about 403.4596573250.

The spelling of 65675040 in words is "sixty-five million, six hundred seventy-five thousand, forty".