1359164160 has 216 divisors, whose sum is σ = 4744696320. Its totient is φ = 359202816.

The previous prime is 1359164159. The next prime is 1359164197. The reversal of 1359164160 is 614619531.

1359164160 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 1 + 641 + 6 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1462576 + ... + 1463504.

Almost surely, 2^1359164160 is an apocalyptic number.

1359164160 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 1359164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372348160).

1359164160 is an abundant number, since it is smaller than the sum of its proper divisors (3385532160).

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

1359164160 is a wasteful number, since it uses less digits than its factorization.

1359164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1359164160 is about 36866.8436403227. The cubic root of 1359164160 is about 1107.7046309170.

The spelling of 1359164160 in words is "one billion, three hundred fifty-nine million, one hundred sixty-four thousand, one hundred sixty".