65285640 has 144 divisors (see below), whose sum is σ = 246886380. Its totient is φ = 14918400.

The previous prime is 65285629. The next prime is 65285651. The reversal of 65285640 is 4658256.

65285640 is a `hidden beast` number, since 6 + 5 + 2 + 8 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (65285629) and next prime (65285651).

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 933156 = 8022^2 + 966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65285595 and 65285604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15790 + ... + 19490.

Almost surely, 2^65285640 is an apocalyptic number.

65285640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123443190).

65285640 is an abundant number, since it is smaller than the sum of its proper divisors (181600740).

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

65285640 is a wasteful number, since it uses less digits than its factorization.

65285640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 65285640 is about 8079.9529701602. The cubic root of 65285640 is about 402.6606793890.

The spelling of 65285640 in words is "sixty-five million, two hundred eighty-five thousand, six hundred forty".