15130624 has 28 divisors (see below), whose sum is σ = 30275784. Its totient is φ = 7561216.

The previous prime is 15130613. The next prime is 15130657. The reversal of 15130624 is 42603151.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 15130595 and 15130604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7269 + ... + 9115.

It is an arithmetic number, because the mean of its divisors is an integer number (1081278).

Almost surely, 2^15130624 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 15130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15137892).

15130624 is an abundant number, since it is smaller than the sum of its proper divisors (15145160).

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

15130624 is an frugal number, since it uses more digits than its factorization.

15130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 15130624 is about 3889.8102781498. The cubic root of 15130624 is about 247.3350204806.

Adding to 15130624 its reverse (42603151), we get a palindrome (57733775).

The spelling of 15130624 in words is "fifteen million, one hundred thirty thousand, six hundred twenty-four".