65742688 has 36 divisors (see below), whose sum is σ = 142275420. Its totient is φ = 29881280.

The previous prime is 65742683. The next prime is 65742767. The reversal of 65742688 is 88624756.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65742683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4618 + ... + 12361.

It is an arithmetic number, because the mean of its divisors is an integer number (3952095).

Almost surely, 2^65742688 is an apocalyptic number.

It is an amenable number.

65742688 is an abundant number, since it is smaller than the sum of its proper divisors (76532732).

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

65742688 is a wasteful number, since it uses less digits than its factorization.

65742688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17011 (or 16992 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 65742688 is about 8108.1864803420. The cubic root of 65742688 is about 403.5981364854.

It can be divided in two parts, 65742 and 688, that added together give a triangular number (66430 = T₃₆₄).

The spelling of 65742688 in words is "sixty-five million, seven hundred forty-two thousand, six hundred eighty-eight".