1516216320 has 280 divisors, whose sum is σ = 5447478564. Its totient is φ = 403439616.

The previous prime is 1516216319. The next prime is 1516216337. The reversal of 1516216320 is 236126151.

1516216320 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 21 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1489342464 + 26873856 = 38592^2 + 5184^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317532 + ... + 3317988.

Almost surely, 2^1516216320 is an apocalyptic number.

1516216320 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 1516216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723739282).

1516216320 is an abundant number, since it is smaller than the sum of its proper divisors (3931262244).

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

1516216320 is an frugal number, since it uses more digits than its factorization.

1516216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1516216320 is about 38938.6224717824. The cubic root of 1516216320 is about 1148.8245885649.

The spelling of 1516216320 in words is "one billion, five hundred sixteen million, two hundred sixteen thousand, three hundred twenty".