65562640 has 120 divisors (see below), whose sum is σ = 180785304. Its totient is φ = 21964800.

The previous prime is 65562619. The next prime is 65562641. The reversal of 65562640 is 4626556.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 65545216 = 132^2 + 8096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65562596 and 65562605.

It is not an unprimeable number, because it can be changed into a prime (65562641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125580 + ... + 126100.

Almost surely, 2^65562640 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 65562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90392652).

65562640 is an abundant number, since it is smaller than the sum of its proper divisors (115222664).

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

65562640 is a wasteful number, since it uses less digits than its factorization.

65562640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 65562640 is about 8097.0760154515. The cubic root of 65562640 is about 403.2293579551.

The spelling of 65562640 in words is "sixty-five million, five hundred sixty-two thousand, six hundred forty".