1560398016 has 224 divisors, whose sum is σ = 4503237120. Its totient is φ = 475611136.

The previous prime is 1560398011. The next prime is 1560398017. The reversal of 1560398016 is 6108930651.

It is a super-3 number, since 3×1560398016³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1560398011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13808776 + ... + 13808888.

Almost surely, 2^1560398016 is an apocalyptic number.

1560398016 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 1560398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251618560).

1560398016 is an abundant number, since it is smaller than the sum of its proper divisors (2942839104).

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

1560398016 is a wasteful number, since it uses less digits than its factorization.

1560398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1560398016 is about 39501.8735758192. The cubic root of 1560398016 is about 1159.8766258007.

The spelling of 1560398016 in words is "one billion, five hundred sixty million, three hundred ninety-eight thousand, sixteen".