65265642 has 64 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 19946304.

The previous prime is 65265637. The next prime is 65265647. The reversal of 65265642 is 24656256.

65265642 is a `hidden beast` number, since 6 + 5 + 2 + 6 + 5 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (65265637) and next prime (65265647).

It is a junction number, because it is equal to n+sod(n) for n = 65265597 and 65265606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65265647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167584 + ... + 167972.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^65265642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65265642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

65265642 is an abundant number, since it is smaller than the sum of its proper divisors (91982358).

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

65265642 is a wasteful number, since it uses less digits than its factorization.

65265642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 65265642 is about 8078.7153681758. The cubic root of 65265642 is about 402.6195614617.

The spelling of 65265642 in words is "sixty-five million, two hundred sixty-five thousand, six hundred forty-two".