13815360 has 280 divisors, whose sum is σ = 54214776. Its totient is φ = 3317760.

The previous prime is 13815359. The next prime is 13815371. The reversal of 13815360 is 6351831.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 13483584 = 576^2 + 3672^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336940 + ... + 336980.

Almost surely, 2^13815360 is an apocalyptic number.

13815360 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 13815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107388).

13815360 is an abundant number, since it is smaller than the sum of its proper divisors (40399416).

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

13815360 is a wasteful number, since it uses less digits than its factorization.

13815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13815360 is about 3716.9019357524. The cubic root of 13815360 is about 239.9499895797.

The spelling of 13815360 in words is "thirteen million, eight hundred fifteen thousand, three hundred sixty".