65516640 has 384 divisors, whose sum is σ = 264757248. Its totient is φ = 13271040.

The previous prime is 65516611. The next prime is 65516653. The reversal of 65516640 is 4661556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1770702 + ... + 1770738.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 2^65516640 is an apocalyptic number.

65516640 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 65516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

65516640 is an abundant number, since it is smaller than the sum of its proper divisors (199240608).

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

65516640 is a wasteful number, since it uses less digits than its factorization.

65516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 65516640 is about 8094.2349854696. The cubic root of 65516640 is about 403.1350314191.

The spelling of 65516640 in words is "sixty-five million, five hundred sixteen thousand, six hundred forty".