868286100 has 288 divisors, whose sum is σ = 2914813440. Its totient is φ = 197568000.

The previous prime is 868286093. The next prime is 868286117. The reversal of 868286100 is 1682868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4114995 + ... + 4115205.

It is an arithmetic number, because the mean of its divisors is an integer number (10120880).

Almost surely, 2^868286100 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 868286100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457406720).

868286100 is an abundant number, since it is smaller than the sum of its proper divisors (2046527340).

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

868286100 is a wasteful number, since it uses less digits than its factorization.

868286100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 868286100 is about 29466.6947586593. The cubic root of 868286100 is about 954.0129783888.

The spelling of 868286100 in words is "eight hundred sixty-eight million, two hundred eighty-six thousand, one hundred".