1516584864 has 48 divisors (see below), whose sum is σ = 4190568480. Its totient is φ = 478920960.

The previous prime is 1516584859. The next prime is 1516584871. The reversal of 1516584864 is 4684856151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413907 + ... + 417554.

It is an arithmetic number, because the mean of its divisors is an integer number (87303510).

Almost surely, 2^1516584864 is an apocalyptic number.

It is an amenable number.

1516584864 is an abundant number, since it is smaller than the sum of its proper divisors (2673983616).

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

1516584864 is a wasteful number, since it uses less digits than its factorization.

1516584864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831493 (or 831485 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 1516584864 is about 38943.3545550457. The cubic root of 1516584864 is about 1148.9176619397.

The spelling of 1516584864 in words is "one billion, five hundred sixteen million, five hundred eighty-four thousand, eight hundred sixty-four".