867272960 has 144 divisors (see below), whose sum is σ = 2198689920. Its totient is φ = 327106560.

The previous prime is 867272941. The next prime is 867273073. The reversal of 867272960 is 69272768.

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 15 ways as a sum of consecutive naturals, for example, 2619995 + ... + 2620325.

It is an arithmetic number, because the mean of its divisors is an integer number (15268680).

Almost surely, 2^867272960 is an apocalyptic number.

867272960 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 867272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099344960).

867272960 is an abundant number, since it is smaller than the sum of its proper divisors (1331416960).

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

867272960 is a wasteful number, since it uses less digits than its factorization.

867272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 867272960 is about 29449.4984677159. The cubic root of 867272960 is about 953.6417778192.

The spelling of 867272960 in words is "eight hundred sixty-seven million, two hundred seventy-two thousand, nine hundred sixty".