867628560 has 160 divisors (see below), whose sum is σ = 2768394240. Its totient is φ = 224699904.

The previous prime is 867628549. The next prime is 867628607. The reversal of 867628560 is 65826768.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269979 + ... + 1270661.

It is an arithmetic number, because the mean of its divisors is an integer number (17302464).

Almost surely, 2^867628560 is an apocalyptic number.

867628560 is a gapful number since it is divisible by the number (80) 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 867628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384197120).

867628560 is an abundant number, since it is smaller than the sum of its proper divisors (1900765680).

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

867628560 is a wasteful number, since it uses less digits than its factorization.

867628560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 867628560 is about 29455.5353032329. The cubic root of 867628560 is about 953.7720976817.

The spelling of 867628560 in words is "eight hundred sixty-seven million, six hundred twenty-eight thousand, five hundred sixty".