13015600 has 60 divisors (see below), whose sum is σ = 33688816. Its totient is φ = 4803840.

The previous prime is 13015579. The next prime is 13015603. The reversal of 13015600 is 651031.

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

It is not an unprimeable number, because it can be changed into a prime (13015603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3949 + ... + 6451.

Almost surely, 2^13015600 is an apocalyptic number.

13015600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844408).

13015600 is an abundant number, since it is smaller than the sum of its proper divisors (20673216).

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

13015600 is a wasteful number, since it uses less digits than its factorization.

13015600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13015600 is about 3607.7139576191. The cubic root of 13015600 is about 235.2274845633.

Adding to 13015600 its reverse (651031), we get a palindrome (13666631).

The spelling of 13015600 in words is "thirteen million, fifteen thousand, six hundred".