65265040 has 80 divisors (see below), whose sum is σ = 165136752. Its totient is φ = 23887872.

The previous prime is 65265029. The next prime is 65265041. The reversal of 65265040 is 4056256.

It can be written as a sum of positive squares in 8 ways, for example, as 25120144 + 40144896 = 5012^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65265041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49672 + ... + 50968.

Almost surely, 2^65265040 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 65265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82568376).

65265040 is an abundant number, since it is smaller than the sum of its proper divisors (99871712).

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

65265040 is a wasteful number, since it uses less digits than its factorization.

65265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 65265040 is about 8078.6781096910. The cubic root of 65265040 is about 402.6183235581.

The spelling of 65265040 in words is "sixty-five million, two hundred sixty-five thousand, forty".