64624 has 20 divisors (see below), whose sum is σ = 143344. Its totient is φ = 27648.

The previous prime is 64621. The next prime is 64627. The reversal of 64624 is 42646.

64624 = T₈₉ + T₉₀ + ... + T₁₀₂.

It is an interprime number because it is at equal distance from previous prime (64621) and next prime (64627).

It is a super-2 number, since 2×64624² = 8352522752, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6⁴ + 4⁴ + 6⁶ + 2⁵ + 4⁷ .

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 64595 and 64604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 400.

2⁶⁴⁶²⁴ is an apocalyptic number.

It is an amenable number.

64624 is an abundant number, since it is smaller than the sum of its proper divisors (78720).

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 (71672).

64624 is a wasteful number, since it uses less digits than its factorization.

64624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 64624 is about 254.2125095270. The cubic root of 64624 is about 40.1295797738.

Adding to 64624 its sum of digits (22), we get a palindrome (64646).

The spelling of 64624 in words is "sixty-four thousand, six hundred twenty-four".