879271560 has 96 divisors (see below), whose sum is σ = 2864160000. Its totient is φ = 233937024.

The previous prime is 879271553. The next prime is 879271567. The reversal of 879271560 is 65172978.

879271560 is a `hidden beast` number, since 87 + 9 + 2 + 7 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (879271553) and next prime (879271567).

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

It is not an unprimeable number, because it can be changed into a prime (879271567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 169891 + ... + 174989.

It is an arithmetic number, because the mean of its divisors is an integer number (29835000).

Almost surely, 2^879271560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879271560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080000).

879271560 is an abundant number, since it is smaller than the sum of its proper divisors (1984888440).

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

879271560 is a wasteful number, since it uses less digits than its factorization.

879271560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 879271560 is about 29652.5135528171. The cubic root of 879271560 is about 958.0194846420.

The spelling of 879271560 in words is "eight hundred seventy-nine million, two hundred seventy-one thousand, five hundred sixty".