65468480 has 112 divisors (see below), whose sum is σ = 194438016. Its totient is φ = 20398080.

The previous prime is 65468477. The next prime is 65468483. The reversal of 65468480 is 8486456.

65468480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65468477) and next prime (65468483).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×65468480² = 8572243747020800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65468483) 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 15 ways as a sum of consecutive naturals, for example, 23312 + ... + 25968.

Almost surely, 2^65468480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97219008).

65468480 is an abundant number, since it is smaller than the sum of its proper divisors (128969536).

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

65468480 is a wasteful number, since it uses less digits than its factorization.

65468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 65468480 is about 8091.2594816876. The cubic root of 65468480 is about 403.0362283148.

The spelling of 65468480 in words is "sixty-five million, four hundred sixty-eight thousand, four hundred eighty".