1516976910 has 160 divisors (see below), whose sum is σ = 4322023200. Its totient is φ = 380712960.

The previous prime is 1516976887. The next prime is 1516976911. The reversal of 1516976910 is 196796151.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516976911) 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 79 ways as a sum of consecutive naturals, for example, 3708786 + ... + 3709194.

It is an arithmetic number, because the mean of its divisors is an integer number (27012645).

Almost surely, 2^1516976910 is an apocalyptic number.

1516976910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516976910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161011600).

1516976910 is an abundant number, since it is smaller than the sum of its proper divisors (2805046290).

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

1516976910 is a wasteful number, since it uses less digits than its factorization.

1516976910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1516976910 is about 38948.3877715112. The cubic root of 1516976910 is about 1149.0166540408.

The spelling of 1516976910 in words is "one billion, five hundred sixteen million, nine hundred seventy-six thousand, nine hundred ten".