1320514560 has 132 divisors (see below), whose sum is σ = 4575708228. Its totient is φ = 352124928.

The previous prime is 1320514543. The next prime is 1320514579. The reversal of 1320514560 is 654150231.

1320514560 is a `hidden beast` number, since 1 + 3 + 205 + 1 + 456 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 364962816 + 955551744 = 19104^2 + 30912^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 31752 + ... + 60408.

Almost surely, 2^1320514560 is an apocalyptic number.

1320514560 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 1320514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287854114).

1320514560 is an abundant number, since it is smaller than the sum of its proper divisors (3255193668).

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

1320514560 is a wasteful number, since it uses less digits than its factorization.

1320514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28688 (or 28667 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1320514560 is about 36338.8849581272. The cubic root of 1320514560 is about 1097.1038304570.

Adding to 1320514560 its reverse (654150231), we get a palindrome (1974664791).

The spelling of 1320514560 in words is "one billion, three hundred twenty million, five hundred fourteen thousand, five hundred sixty".