1516816860 has 96 divisors (see below), whose sum is σ = 4580792832. Its totient is φ = 372798720.

The previous prime is 1516816837. The next prime is 1516816883. The reversal of 1516816860 is 686186151.

It is an interprime number because it is at equal distance from previous prime (1516816837) and next prime (1516816883).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753255 + ... + 755265.

It is an arithmetic number, because the mean of its divisors is an integer number (47716592).

Almost surely, 2^1516816860 is an apocalyptic number.

1516816860 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 1516816860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290396416).

1516816860 is an abundant number, since it is smaller than the sum of its proper divisors (3063975972).

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

1516816860 is a wasteful number, since it uses less digits than its factorization.

1516816860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 1516816860 is about 38946.3330751433. Note that the first 3 decimals coincide. The cubic root of 1516816860 is about 1148.9762432778.

The spelling of 1516816860 in words is "one billion, five hundred sixteen million, eight hundred sixteen thousand, eight hundred sixty".