130624 has 28 divisors (see below), whose sum is σ = 280924. Its totient is φ = 59904.

The previous prime is 130621. The next prime is 130631. The reversal of 130624 is 426031.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 102400 = 168^2 + 320^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130598 and 130607.

It is not an unprimeable number, because it can be changed into a prime (130621) 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, 754 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (10033).

2¹³⁰⁶²⁴ 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 130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140462).

130624 is an abundant number, since it is smaller than the sum of its proper divisors (150300).

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

130624 is a wasteful number, since it uses less digits than its factorization.

130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130624 is about 361.4194239384. The cubic root of 130624 is about 50.7388936036.

Adding to 130624 its reverse (426031), we get a palindrome (556655).

It can be divided in two parts, 1 and 30624, that added together give a square (30625 = 175²).

The spelling of 130624 in words is "one hundred thirty thousand, six hundred twenty-four".