65536040 has 64 divisors (see below), whose sum is σ = 153090000. Its totient is φ = 25231360.

The previous prime is 65535989. The next prime is 65536043. The reversal of 65536040 is 4063556.

It can be written as a sum of positive squares in 8 ways, for example, as 6584356 + 58951684 = 2566^2 + 7678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65535994 and 65536012.

It is not an unprimeable number, because it can be changed into a prime (65536043) 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, 145736 + ... + 146184.

Almost surely, 2^65536040 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 65536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76545000).

65536040 is an abundant number, since it is smaller than the sum of its proper divisors (87553960).

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

65536040 is a wasteful number, since it uses less digits than its factorization.

65536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 65536040 is about 8095.4332805601. The cubic root of 65536040 is about 403.1748179925.

Adding to 65536040 its reverse (4063556), we get a palindrome (69599596).

It can be divided in two parts, 655360 and 40, that multiplied together give a square (26214400 = 5120²).

The spelling of 65536040 in words is "sixty-five million, five hundred thirty-six thousand, forty".