1516206120 has 256 divisors, whose sum is σ = 5388768000. Its totient is φ = 336445440.

The previous prime is 1516206113. The next prime is 1516206169. The reversal of 1516206120 is 216026151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2556544 + ... + 2557136.

It is an arithmetic number, because the mean of its divisors is an integer number (21049875).

Almost surely, 2^1516206120 is an apocalyptic number.

1516206120 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 1516206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694384000).

1516206120 is an abundant number, since it is smaller than the sum of its proper divisors (3872561880).

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

1516206120 is a wasteful number, since it uses less digits than its factorization.

1516206120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1516206120 is about 38938.4914962046. The cubic root of 1516206120 is about 1148.8220124072.

The spelling of 1516206120 in words is "one billion, five hundred sixteen million, two hundred six thousand, one hundred twenty".