1516160 has 64 divisors (see below), whose sum is σ = 3818880. Its totient is φ = 574464.

The previous prime is 1516157. The next prime is 1516187. The reversal of 1516160 is 616151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1516160² = 4597482291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14669 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

2^1516160 is an apocalyptic number.

1516160 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 1516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909440).

1516160 is an abundant number, since it is smaller than the sum of its proper divisors (2302720).

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

1516160 is a wasteful number, since it uses less digits than its factorization.

1516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1516160 is about 1231.3244901325. The cubic root of 1516160 is about 114.8810363989.

Subtracting from 1516160 its reverse (616151), we obtain a palindrome (900009).

The spelling of 1516160 in words is "one million, five hundred sixteen thousand, one hundred sixty".