65746240 has 112 divisors (see below), whose sum is σ = 182880000. Its totient is φ = 22503936.

The previous prime is 65746231. The next prime is 65746297. The reversal of 65746240 is 4264756.

65746240 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 (112).

It is a junction number, because it is equal to n+sod(n) for n = 65746196 and 65746205.

It is a congruent number.

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, 109461 + ... + 110059.

Almost surely, 2^65746240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440000).

65746240 is an abundant number, since it is smaller than the sum of its proper divisors (117133760).

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

65746240 is an equidigital number, since it uses as much as digits as its factorization.

65746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 65746240 is about 8108.4055152662. The cubic root of 65746240 is about 403.6054049985.

The spelling of 65746240 in words is "sixty-five million, seven hundred forty-six thousand, two hundred forty".