1516284720 has 240 divisors, whose sum is σ = 5327337600. Its totient is φ = 385996800.

The previous prime is 1516284713. The next prime is 1516284743. The reversal of 1516284720 is 274826151.

1516284720 is a `hidden beast` number, since 1 + 5 + 1 + 628 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2108521 + ... + 2109239.

It is an arithmetic number, because the mean of its divisors is an integer number (22197240).

Almost surely, 2^1516284720 is an apocalyptic number.

1516284720 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 1516284720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663668800).

1516284720 is an abundant number, since it is smaller than the sum of its proper divisors (3811052880).

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

1516284720 is a wasteful number, since it uses less digits than its factorization.

1516284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1516284720 is about 38939.5007672158. The cubic root of 1516284720 is about 1148.8418636769.

The spelling of 1516284720 in words is "one billion, five hundred sixteen million, two hundred eighty-four thousand, seven hundred twenty".