65985024 has 240 divisors, whose sum is σ = 224503488. Its totient is φ = 16809984.

The previous prime is 65985013. The next prime is 65985047. The reversal of 65985024 is 42058956.

65985024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3472887 + ... + 3472905.

Almost surely, 2^65985024 is an apocalyptic number.

65985024 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 65985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112251744).

65985024 is an abundant number, since it is smaller than the sum of its proper divisors (158518464).

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

65985024 is a wasteful number, since it uses less digits than its factorization.

65985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 65985024 is about 8123.1166432595. The cubic root of 65985024 is about 404.0934332800.

The spelling of 65985024 in words is "sixty-five million, nine hundred eighty-five thousand, twenty-four".