15813120 has 160 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 4014080.

The previous prime is 15813101. The next prime is 15813143. The reversal of 15813120 is 2131851.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222685 + ... + 222755.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^15813120 is an apocalyptic number.

15813120 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 15813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

15813120 is an abundant number, since it is smaller than the sum of its proper divisors (37219200).

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

15813120 is an equidigital number, since it uses as much as digits as its factorization.

15813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 15813120 is about 3976.5713875146. The cubic root of 15813120 is about 250.9993068874. Note that the first 3 decimals are identical.

Adding to 15813120 its reverse (2131851), we get a palindrome (17944971).

The spelling of 15813120 in words is "fifteen million, eight hundred thirteen thousand, one hundred twenty".