65784960 has 256 divisors, whose sum is σ = 240883200. Its totient is φ = 17169408.

The previous prime is 65784949. The next prime is 65784977. The reversal of 65784960 is 6948756.

65784960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399657 + ... + 1399703.

It is an arithmetic number, because the mean of its divisors is an integer number (940950).

Almost surely, 2^65784960 is an apocalyptic number.

65784960 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 65784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

65784960 is an abundant number, since it is smaller than the sum of its proper divisors (175098240).

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

65784960 is an frugal number, since it uses more digits than its factorization.

65784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 65784960 is about 8110.7928095840. The cubic root of 65784960 is about 403.6846213635.

The spelling of 65784960 in words is "sixty-five million, seven hundred eighty-four thousand, nine hundred sixty".