867086880 has 192 divisors, whose sum is σ = 3012121728. Its totient is φ = 207912960.

The previous prime is 867086849. The next prime is 867086881. The reversal of 867086880 is 88680768.

It is not an unprimeable number, because it can be changed into a prime (867086881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511314 + ... + 513006.

It is an arithmetic number, because the mean of its divisors is an integer number (15688134).

Almost surely, 2^867086880 is an apocalyptic number.

867086880 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 867086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506060864).

867086880 is an abundant number, since it is smaller than the sum of its proper divisors (2145034848).

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

867086880 is a wasteful number, since it uses less digits than its factorization.

867086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 867086880 is about 29446.3389914604. The cubic root of 867086880 is about 953.5735692455.

The spelling of 867086880 in words is "eight hundred sixty-seven million, eighty-six thousand, eight hundred eighty".