1279528560 has 120 divisors (see below), whose sum is σ = 4326285600. Its totient is φ = 338889216.

The previous prime is 1279528543. The next prime is 1279528637. The reversal of 1279528560 is 658259721.

1279528560 is a `hidden beast` number, since 1 + 2 + 79 + 528 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 101317 + ... + 113243.

It is an arithmetic number, because the mean of its divisors is an integer number (36052380).

Almost surely, 2^1279528560 is an apocalyptic number.

1279528560 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 1279528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163142800).

1279528560 is an abundant number, since it is smaller than the sum of its proper divisors (3046757040).

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

1279528560 is a wasteful number, since it uses less digits than its factorization.

1279528560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1279528560 is about 35770.4984589256. The cubic root of 1279528560 is about 1085.6337297441.

The spelling of 1279528560 in words is "one billion, two hundred seventy-nine million, five hundred twenty-eight thousand, five hundred sixty".