65124224 has 64 divisors (see below), whose sum is σ = 147761280. Its totient is φ = 28300800.

The previous prime is 65124221. The next prime is 65124299. The reversal of 65124224 is 42242156.

65124224 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 65124193 and 65124202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65124221) 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 7 ways as a sum of consecutive naturals, for example, 31379 + ... + 33389.

It is an arithmetic number, because the mean of its divisors is an integer number (2308770).

Almost surely, 2^65124224 is an apocalyptic number.

65124224 is a gapful number since it is divisible by the number (64) 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 65124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73880640).

65124224 is an abundant number, since it is smaller than the sum of its proper divisors (82637056).

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

65124224 is a wasteful number, since it uses less digits than its factorization.

65124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2047 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 65124224 is about 8069.9581163721. The cubic root of 65124224 is about 402.3285516477.

The spelling of 65124224 in words is "sixty-five million, one hundred twenty-four thousand, two hundred twenty-four".