1306591104 has 256 divisors, whose sum is σ = 4318272000. Its totient is φ = 340844544.

The previous prime is 1306591103. The next prime is 1306591109. The reversal of 1306591104 is 4011956031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306591103) 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, 4857082 + ... + 4857350.

It is an arithmetic number, because the mean of its divisors is an integer number (16868250).

Almost surely, 2^1306591104 is an apocalyptic number.

1306591104 is a gapful number since it is divisible by the number (14) 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 1306591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136000).

1306591104 is an abundant number, since it is smaller than the sum of its proper divisors (3011680896).

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

1306591104 is a wasteful number, since it uses less digits than its factorization.

1306591104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1306591104 is about 36146.7993603860. The cubic root of 1306591104 is about 1093.2342576625.

The spelling of 1306591104 in words is "one billion, three hundred six million, five hundred ninety-one thousand, one hundred four".