1306005120 has 640 divisors, whose sum is σ = 5509468800. Its totient is φ = 288645120.

The previous prime is 1306005119. The next prime is 1306005131. The reversal of 1306005120 is 215006031.

1306005120 is a `hidden beast` number, since 13 + 0 + 600 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1306005093 and 1306005102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21409890 + ... + 21409950.

It is an arithmetic number, because the mean of its divisors is an integer number (8608545).

Almost surely, 2^1306005120 is an apocalyptic number.

1306005120 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 1306005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754734400).

1306005120 is an abundant number, since it is smaller than the sum of its proper divisors (4203463680).

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

1306005120 is an equidigital number, since it uses as much as digits as its factorization.

1306005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1306005120 is about 36138.6928374561. The cubic root of 1306005120 is about 1093.0708008692.

The spelling of 1306005120 in words is "one billion, three hundred six million, five thousand, one hundred twenty".