1360114560 has 576 divisors, whose sum is σ = 5623300800. Its totient is φ = 301916160.

The previous prime is 1360114523. The next prime is 1360114571. The reversal of 1360114560 is 654110631.

1360114560 is a `hidden beast` number, since 1 + 3 + 601 + 1 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 17216601 + ... + 17216679.

It is an arithmetic number, because the mean of its divisors is an integer number (9762675).

Almost surely, 2^1360114560 is an apocalyptic number.

1360114560 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 1360114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811650400).

1360114560 is an abundant number, since it is smaller than the sum of its proper divisors (4263186240).

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

1360114560 is a wasteful number, since it uses less digits than its factorization.

1360114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1360114560 is about 36879.7310185419. The cubic root of 1360114560 is about 1107.9627594603.

The spelling of 1360114560 in words is "one billion, three hundred sixty million, one hundred fourteen thousand, five hundred sixty".