65450880 has 192 divisors, whose sum is σ = 246795120. Its totient is φ = 15851520.

The previous prime is 65450873. The next prime is 65450881. The reversal of 65450880 is 8805456.

It is a happy number.

65450880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65450881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62844 + ... + 63876.

Almost surely, 2^65450880 is an apocalyptic number.

65450880 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 65450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123397560).

65450880 is an abundant number, since it is smaller than the sum of its proper divisors (181344240).

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

65450880 is a wasteful number, since it uses less digits than its factorization.

65450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1054 counting only the distinct ones).

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

The square root of 65450880 is about 8090.1718152336. The cubic root of 65450880 is about 403.0001087788. Note that the first 3 decimals are identical.

The spelling of 65450880 in words is "sixty-five million, four hundred fifty thousand, eight hundred eighty".