1312706304 has 288 divisors, whose sum is σ = 4780016640. Its totient is φ = 346042368.

The previous prime is 1312706303. The next prime is 1312706363. The reversal of 1312706304 is 4036072131.

1312706304 is a `hidden beast` number, since 1 + 3 + 1 + 27 + 0 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1312706304² = 3446395681122680832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312706303) 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, 627949 + ... + 630035.

It is an arithmetic number, because the mean of its divisors is an integer number (16597280).

Almost surely, 2^1312706304 is an apocalyptic number.

1312706304 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 1312706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390008320).

1312706304 is an abundant number, since it is smaller than the sum of its proper divisors (3467310336).

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

1312706304 is a wasteful number, since it uses less digits than its factorization.

1312706304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1312706304 is about 36231.2890192993. The cubic root of 1312706304 is about 1094.9371478279.

Adding to 1312706304 its reverse (4036072131), we get a palindrome (5348778435).

It can be divided in two parts, 1312706 and 304, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 1312706304 in words is "one billion, three hundred twelve million, seven hundred six thousand, three hundred four".