867887820 has 72 divisors (see below), whose sum is σ = 2638555920. Its totient is φ = 230912640.

The previous prime is 867887803. The next prime is 867887831. The reversal of 867887820 is 28788768.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77751 + ... + 88209.

It is an arithmetic number, because the mean of its divisors is an integer number (36646610).

Almost surely, 2^867887820 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 867887820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319277960).

867887820 is an abundant number, since it is smaller than the sum of its proper divisors (1770668100).

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

867887820 is a wasteful number, since it uses less digits than its factorization.

867887820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 867887820 is about 29459.9358451440. The cubic root of 867887820 is about 953.8670885337.

The spelling of 867887820 in words is "eight hundred sixty-seven million, eight hundred eighty-seven thousand, eight hundred twenty".