65624 has 16 divisors (see below), whose sum is σ = 132720. Its totient is φ = 30240.

The previous prime is 65617. The next prime is 65629. The reversal of 65624 is 42656.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 65624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65629) by changing a digit.

65624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (8295).

2⁶⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

65624 is an abundant number, since it is smaller than the sum of its proper divisors (67096).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66360).

65624 is a wasteful number, since it uses less digits than its factorization.

65624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 65624 is about 256.1718173414. The cubic root of 65624 is about 40.3355112697.

The spelling of 65624 in words is "sixty-five thousand, six hundred twenty-four".