65505180 has 96 divisors (see below), whose sum is σ = 199289664. Its totient is φ = 15980544.

The previous prime is 65505149. The next prime is 65505241. The reversal of 65505180 is 8150556.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106554 + ... + 107166.

It is an arithmetic number, because the mean of its divisors is an integer number (2075934).

Almost surely, 2^65505180 is an apocalyptic number.

65505180 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 65505180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99644832).

65505180 is an abundant number, since it is smaller than the sum of its proper divisors (133784484).

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

65505180 is a wasteful number, since it uses less digits than its factorization.

65505180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 65505180 is about 8093.5270432612. The cubic root of 65505180 is about 403.1115249387. Note that the first 3 decimals are identical.

The spelling of 65505180 in words is "sixty-five million, five hundred five thousand, one hundred eighty".