65930688 has 84 divisors (see below), whose sum is σ = 195544440. Its totient is φ = 21213696.

The previous prime is 65930687. The next prime is 65930693. The reversal of 65930688 is 88603956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65930687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14731 + ... + 18677.

It is an arithmetic number, because the mean of its divisors is an integer number (2327910).

Almost surely, 2^65930688 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 65930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97772220).

65930688 is an abundant number, since it is smaller than the sum of its proper divisors (129613752).

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

65930688 is a wasteful number, since it uses less digits than its factorization.

65930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 65930688 is about 8119.7714253543. The cubic root of 65930688 is about 403.9824846179.

The spelling of 65930688 in words is "sixty-five million, nine hundred thirty thousand, six hundred eighty-eight".