65180448 has 72 divisors (see below), whose sum is σ = 196274988. Its totient is φ = 20447232.

The previous prime is 65180443. The next prime is 65180471. The reversal of 65180448 is 84408156.

It can be written as a sum of positive squares in 2 ways, for example, as 64834704 + 345744 = 8052^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (65180443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1761 + ... + 11552.

Almost surely, 2^65180448 is an apocalyptic number.

65180448 is a gapful number since it is divisible by the number (68) 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 65180448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98137494).

65180448 is an abundant number, since it is smaller than the sum of its proper divisors (131094540).

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

65180448 is a wasteful number, since it uses less digits than its factorization.

65180448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 13335 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 65180448 is about 8073.4409021185. The cubic root of 65180448 is about 402.4442997392. Note that the first 3 decimals are identical.

The spelling of 65180448 in words is "sixty-five million, one hundred eighty thousand, four hundred forty-eight".