1516584960 has 540 divisors, whose sum is σ = 6118647444. Its totient is φ = 346030080.

The previous prime is 1516584919. The next prime is 1516584967. The reversal of 1516584960 is 694856151.

1516584960 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 584 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 874266624 + 642318336 = 29568^2 + 25344^2 .

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 (1516584967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89210872 + ... + 89210888.

Almost surely, 2^1516584960 is an apocalyptic number.

1516584960 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 1516584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059323722).

1516584960 is an abundant number, since it is smaller than the sum of its proper divisors (4602062484).

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

1516584960 is a wasteful number, since it uses less digits than its factorization.

1516584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1516584960 is about 38943.3557876052. The cubic root of 1516584960 is about 1148.9176861819.

The spelling of 1516584960 in words is "one billion, five hundred sixteen million, five hundred eighty-four thousand, nine hundred sixty".