1516605216 has 96 divisors (see below), whose sum is σ = 4604802048. Its totient is φ = 428079360.

The previous prime is 1516605151. The next prime is 1516605217. The reversal of 1516605216 is 6125066151.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1516605217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42181 + ... + 69371.

It is an arithmetic number, because the mean of its divisors is an integer number (47966688).

Almost surely, 2^1516605216 is an apocalyptic number.

1516605216 is a gapful number since it is divisible by the number (16) 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 1516605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302401024).

1516605216 is an abundant number, since it is smaller than the sum of its proper divisors (3088196832).

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

1516605216 is a wasteful number, since it uses less digits than its factorization.

1516605216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27294 (or 27286 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1516605216 is about 38943.6158567743. The cubic root of 1516605216 is about 1148.9228012647.

The spelling of 1516605216 in words is "one billion, five hundred sixteen million, six hundred five thousand, two hundred sixteen".