1516840000 has 140 divisors (see below), whose sum is σ = 4051987324. Its totient is φ = 559872000.

The previous prime is 1516839997. The next prime is 1516840043. The reversal of 1516840000 is 486151.

It can be written as a sum of positive squares in 10 ways, for example, as 916393984 + 600446016 = 30272^2 + 24504^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 518542 + ... + 521458.

Almost surely, 2^1516840000 is an apocalyptic number.

1516840000 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 1516840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025993662).

1516840000 is an abundant number, since it is smaller than the sum of its proper divisors (2535147324).

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

1516840000 is an equidigital number, since it uses as much as digits as its factorization.

1516840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1516840000 is about 38946.6301494751. The cubic root of 1516840000 is about 1148.9820860343.

The spelling of 1516840000 in words is "one billion, five hundred sixteen million, eight hundred forty thousand".