65824920 has 128 divisors (see below), whose sum is σ = 250790400. Its totient is φ = 15043968.

The previous prime is 65824907. The next prime is 65824921. The reversal of 65824920 is 2942856.

It is a happy number.

65824920 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65824921) 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 31 ways as a sum of consecutive naturals, for example, 3207 + ... + 11913.

It is an arithmetic number, because the mean of its divisors is an integer number (1959300).

Almost surely, 2^65824920 is an apocalyptic number.

65824920 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 65824920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125395200).

65824920 is an abundant number, since it is smaller than the sum of its proper divisors (184965480).

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

65824920 is a wasteful number, since it uses less digits than its factorization.

65824920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65824920 is about 8113.2558199529. The cubic root of 65824920 is about 403.7663420301.

The spelling of 65824920 in words is "sixty-five million, eight hundred twenty-four thousand, nine hundred twenty".