1516370856 has 384 divisors, whose sum is σ = 5295144960. Its totient is φ = 355622400.

The previous prime is 1516370839. The next prime is 1516370857. The reversal of 1516370856 is 6580736151.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1516370857) 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 95 ways as a sum of consecutive naturals, for example, 11939865 + ... + 11939991.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^1516370856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516370856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480).

1516370856 is an abundant number, since it is smaller than the sum of its proper divisors (3778774104).

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

1516370856 is a wasteful number, since it uses less digits than its factorization.

1516370856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1516370856 is about 38940.6067749335. The cubic root of 1516370856 is about 1148.8636174561.

The spelling of 1516370856 in words is "one billion, five hundred sixteen million, three hundred seventy thousand, eight hundred fifty-six".