65506224 has 160 divisors (see below), whose sum is σ = 210780160. Its totient is φ = 17107200.

The previous prime is 65506201. The next prime is 65506229. The reversal of 65506224 is 42260556.

It is a junction number, because it is equal to n+sod(n) for n = 65506191 and 65506200.

It is not an unprimeable number, because it can be changed into a prime (65506229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197739 + ... + 198069.

It is an arithmetic number, because the mean of its divisors is an integer number (1317376).

Almost surely, 2^65506224 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 65506224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105390080).

65506224 is an abundant number, since it is smaller than the sum of its proper divisors (145273936).

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

65506224 is a wasteful number, since it uses less digits than its factorization.

65506224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 65506224 is about 8093.5915389894. The cubic root of 65506224 is about 403.1136664802.

The spelling of 65506224 in words is "sixty-five million, five hundred six thousand, two hundred twenty-four".