867976120 has 64 divisors (see below), whose sum is σ = 2137674240. Its totient is φ = 314563200.

The previous prime is 867976117. The next prime is 867976147. The reversal of 867976120 is 21679768.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133669 + ... + 140011.

It is an arithmetic number, because the mean of its divisors is an integer number (33401160).

Almost surely, 2^867976120 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 867976120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068837120).

867976120 is an abundant number, since it is smaller than the sum of its proper divisors (1269698120).

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

867976120 is a wasteful number, since it uses less digits than its factorization.

867976120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 867976120 is about 29461.4344525178. The cubic root of 867976120 is about 953.8994366497.

The spelling of 867976120 in words is "eight hundred sixty-seven million, nine hundred seventy-six thousand, one hundred twenty".