65948480 has 112 divisors (see below), whose sum is σ = 172053504. Its totient is φ = 23930880.

The previous prime is 65948479. The next prime is 65948507. The reversal of 65948480 is 8484956.

It is a happy number.

65948480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 345185 + ... + 345375.

It is an arithmetic number, because the mean of its divisors is an integer number (1536192).

Almost surely, 2^65948480 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 65948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026752).

65948480 is an abundant number, since it is smaller than the sum of its proper divisors (106105024).

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

65948480 is a wasteful number, since it uses less digits than its factorization.

65948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 65948480 is about 8120.8669487931. The cubic root of 65948480 is about 404.0188208073.

The spelling of 65948480 in words is "sixty-five million, nine hundred forty-eight thousand, four hundred eighty".