1516384320 has 224 divisors, whose sum is σ = 5395545216. Its totient is φ = 357580800.

The previous prime is 1516384301. The next prime is 1516384321. The reversal of 1516384320 is 234836151.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1516384321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388780 + ... + 392660.

Almost surely, 2^1516384320 is an apocalyptic number.

1516384320 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 1516384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697772608).

1516384320 is an abundant number, since it is smaller than the sum of its proper divisors (3879160896).

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

1516384320 is a wasteful number, since it uses less digits than its factorization.

1516384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1516384320 is about 38940.7796532119. The cubic root of 1516384320 is about 1148.8670177356.

The spelling of 1516384320 in words is "one billion, five hundred sixteen million, three hundred eighty-four thousand, three hundred twenty".