65825424 has 180 divisors, whose sum is σ = 226034640. Its totient is φ = 17781120.

The previous prime is 65825399. The next prime is 65825429. The reversal of 65825424 is 42452856.

It is a happy number.

65825424 is a `hidden beast` number, since 6 + 582 + 54 + 24 = 666.

65825424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (65825429) 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 35 ways as a sum of consecutive naturals, for example, 133819 + ... + 134309.

It is an arithmetic number, because the mean of its divisors is an integer number (1255748).

Almost surely, 2^65825424 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 65825424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113017320).

65825424 is an abundant number, since it is smaller than the sum of its proper divisors (160209216).

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

65825424 is a wasteful number, since it uses less digits than its factorization.

65825424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 65825424 is about 8113.2868801738. The cubic root of 65825424 is about 403.7673725300.

The spelling of 65825424 in words is "sixty-five million, eight hundred twenty-five thousand, four hundred twenty-four".