1305870336 has 216 divisors, whose sum is σ = 4007642184. Its totient is φ = 424673280.

The previous prime is 1305870329. The next prime is 1305870353. The reversal of 1305870336 is 6330785031.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×1305870336³ (a number of 28 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1305870336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850476 + ... + 31850516.

It is an arithmetic number, because the mean of its divisors is an integer number (18553899).

Almost surely, 2^1305870336 is an apocalyptic number.

1305870336 is a gapful number since it is divisible by the number (16) 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 1305870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003821092).

1305870336 is an abundant number, since it is smaller than the sum of its proper divisors (2701771848).

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

1305870336 is an frugal number, since it uses more digits than its factorization.

1305870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1305870336 is about 36136.8279736891. The cubic root of 1305870336 is about 1093.0331967483.

The spelling of 1305870336 in words is "one billion, three hundred five million, eight hundred seventy thousand, three hundred thirty-six".