65584080 has 200 divisors, whose sum is σ = 236313000. Its totient is φ = 16837632.

The previous prime is 65584031. The next prime is 65584093. The reversal of 65584080 is 8048556.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 52881984 = 3564^2 + 7272^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187746 + ... + 188094.

It is an arithmetic number, because the mean of its divisors is an integer number (1181565).

Almost surely, 2^65584080 is an apocalyptic number.

65584080 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 65584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118156500).

65584080 is an abundant number, since it is smaller than the sum of its proper divisors (170728920).

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

65584080 is a wasteful number, since it uses less digits than its factorization.

65584080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 65584080 is about 8098.3998419441. The cubic root of 65584080 is about 403.2733072492.

The spelling of 65584080 in words is "sixty-five million, five hundred eighty-four thousand, eighty".