1516226784 has 96 divisors (see below), whose sum is σ = 4119413760. Its totient is φ = 487990272.

The previous prime is 1516226779. The next prime is 1516226791. The reversal of 1516226784 is 4876226151.

It is a happy number.

1516226784 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365329 + ... + 369455.

It is an arithmetic number, because the mean of its divisors is an integer number (42910560).

Almost surely, 2^1516226784 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 1516226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059706880).

1516226784 is an abundant number, since it is smaller than the sum of its proper divisors (2603186976).

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

1516226784 is a wasteful number, since it uses less digits than its factorization.

1516226784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4264 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 1516226784 is about 38938.7568368586. The cubic root of 1516226784 is about 1148.8272313877.

The spelling of 1516226784 in words is "one billion, five hundred sixteen million, two hundred twenty-six thousand, seven hundred eighty-four".