867668480 has 120 divisors (see below), whose sum is σ = 2420372988. Its totient is φ = 297443328.

The previous prime is 867668479. The next prime is 867668489. The reversal of 867668480 is 84866768.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 867655936 + 12544 = 29456^2 + 112^2 .

It is not an unprimeable number, because it can be changed into a prime (867668489) 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 11 ways as a sum of consecutive naturals, for example, 121982 + ... + 128898.

Almost surely, 2^867668480 is an apocalyptic number.

867668480 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 867668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210186494).

867668480 is an abundant number, since it is smaller than the sum of its proper divisors (1552704508).

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

867668480 is an equidigital number, since it uses as much as digits as its factorization.

867668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The square root of 867668480 is about 29456.2129269871. The cubic root of 867668480 is about 953.7867252923.

The spelling of 867668480 in words is "eight hundred sixty-seven million, six hundred sixty-eight thousand, four hundred eighty".