65832480 has 288 divisors, whose sum is σ = 268894080. Its totient is φ = 14999040.

The previous prime is 65832469. The next prime is 65832491. The reversal of 65832480 is 8423856.

It is an interprime number because it is at equal distance from previous prime (65832469) and next prime (65832491).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 211525 + ... + 211835.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^65832480 is an apocalyptic number.

65832480 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 65832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

65832480 is an abundant number, since it is smaller than the sum of its proper divisors (203061600).

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

65832480 is a wasteful number, since it uses less digits than its factorization.

65832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 65832480 is about 8113.7217107811. The cubic root of 65832480 is about 403.7817989760.

The spelling of 65832480 in words is "sixty-five million, eight hundred thirty-two thousand, four hundred eighty".