1306964160 has 140 divisors (see below), whose sum is σ = 4649193648. Its totient is φ = 348516864.

The previous prime is 1306964147. The next prime is 1306964171. The reversal of 1306964160 is 614696031.

1306964160 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 9 + 641 + 6 + 0 = 666.

It is a super-3 number, since 3×1306964160³ (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 709 + ... + 51131.

Almost surely, 2^1306964160 is an apocalyptic number.

1306964160 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 1306964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324596824).

1306964160 is an abundant number, since it is smaller than the sum of its proper divisors (3342229488).

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

1306964160 is an equidigital number, since it uses as much as digits as its factorization.

1306964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50452 (or 50433 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1306964160 is about 36151.9592830043. The cubic root of 1306964160 is about 1093.3382939824.

The spelling of 1306964160 in words is "one billion, three hundred six million, nine hundred sixty-four thousand, one hundred sixty".