1328636160 has 432 divisors, whose sum is σ = 4921665840. Its totient is φ = 330301440.

The previous prime is 1328636137. The next prime is 1328636203. The reversal of 1328636160 is 616368231.

1328636160 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 636 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 170459136 + 1158177024 = 13056^2 + 34032^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13697232 + ... + 13697328.

It is an arithmetic number, because the mean of its divisors is an integer number (11392745).

Almost surely, 2^1328636160 is an apocalyptic number.

1328636160 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 1328636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460832920).

1328636160 is an abundant number, since it is smaller than the sum of its proper divisors (3593029680).

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

1328636160 is a wasteful number, since it uses less digits than its factorization.

1328636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1328636160 is about 36450.4617254706. The cubic root of 1328636160 is about 1099.3484185217.

The spelling of 1328636160 in words is "one billion, three hundred twenty-eight million, six hundred thirty-six thousand, one hundred sixty".