1516820224 has 72 divisors (see below), whose sum is σ = 3090528000. Its totient is φ = 742849536.

The previous prime is 1516820219. The next prime is 1516820243. The reversal of 1516820224 is 4220286151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3619887 + ... + 3620305.

It is an arithmetic number, because the mean of its divisors is an integer number (42924000).

Almost surely, 2^1516820224 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 1516820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545264000).

1516820224 is an abundant number, since it is smaller than the sum of its proper divisors (1573707776).

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

1516820224 is an equidigital number, since it uses as much as digits as its factorization.

1516820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1516820224 is about 38946.3762627539. The cubic root of 1516820224 is about 1148.9770926779.

The spelling of 1516820224 in words is "one billion, five hundred sixteen million, eight hundred twenty thousand, two hundred twenty-four".