1505566160 has 120 divisors (see below), whose sum is σ = 4091523840. Its totient is φ = 513714432.

The previous prime is 1505566151. The next prime is 1505566163. The reversal of 1505566160 is 616655051.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1505566160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505566163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936077 + ... + 937683.

It is an arithmetic number, because the mean of its divisors is an integer number (34096032).

Almost surely, 2^1505566160 is an apocalyptic number.

1505566160 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 1505566160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045761920).

1505566160 is an abundant number, since it is smaller than the sum of its proper divisors (2585957680).

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

1505566160 is a wasteful number, since it uses less digits than its factorization.

1505566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 1505566160 is about 38801.6257391362. The cubic root of 1505566160 is about 1146.1284197912.

The spelling of 1505566160 in words is "one billion, five hundred five million, five hundred sixty-six thousand, one hundred sixty".