867946600 has 96 divisors (see below), whose sum is σ = 2154772800. Its totient is φ = 324172800.

The previous prime is 867946579. The next prime is 867946621. The reversal of 867946600 is 6649768.

It is an interprime number because it is at equal distance from previous prime (867946579) and next prime (867946621).

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, 268192 + ... + 271408.

It is an arithmetic number, because the mean of its divisors is an integer number (22445550).

Almost surely, 2^867946600 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 867946600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077386400).

867946600 is an abundant number, since it is smaller than the sum of its proper divisors (1286826200).

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

867946600 is a wasteful number, since it uses less digits than its factorization.

867946600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 867946600 is about 29460.9334543222. The cubic root of 867946600 is about 953.8886224387. Note that the first 3 decimals are identical.

The spelling of 867946600 in words is "eight hundred sixty-seven million, nine hundred forty-six thousand, six hundred".