1365078560 has 96 divisors (see below), whose sum is σ = 3410164800. Its totient is φ = 514944000.

The previous prime is 1365078527. The next prime is 1365078587. The reversal of 1365078560 is 658705631.

It is a super-4 number, since 4×1365078560⁴ (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762146 + ... + 763934.

It is an arithmetic number, because the mean of its divisors is an integer number (35522550).

Almost surely, 2^1365078560 is an apocalyptic number.

1365078560 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 1365078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705082400).

1365078560 is an abundant number, since it is smaller than the sum of its proper divisors (2045086240).

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

1365078560 is a wasteful number, since it uses less digits than its factorization.

1365078560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 1365078560 is about 36946.9695644988. The cubic root of 1365078560 is about 1109.3090307767.

The spelling of 1365078560 in words is "one billion, three hundred sixty-five million, seventy-eight thousand, five hundred sixty".