1516056960 has 256 divisors, whose sum is σ = 5502712320. Its totient is φ = 351436800.

The previous prime is 1516056947. The next prime is 1516056967. The reversal of 1516056960 is 696506151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516056967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484200 + ... + 487320.

It is an arithmetic number, because the mean of its divisors is an integer number (21494970).

Almost surely, 2^1516056960 is an apocalyptic number.

1516056960 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 1516056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751356160).

1516056960 is an abundant number, since it is smaller than the sum of its proper divisors (3986655360).

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

1516056960 is a wasteful number, since it uses less digits than its factorization.

1516056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 1516056960 is about 38936.5761206606. The cubic root of 1516056960 is about 1148.7843385693.

The spelling of 1516056960 in words is "one billion, five hundred sixteen million, fifty-six thousand, nine hundred sixty".