1001867868 has 72 divisors (see below), whose sum is σ = 2698808112. Its totient is φ = 312279552.

The previous prime is 1001867807. The next prime is 1001867873. The reversal of 1001867868 is 8687681001.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 90871 + ... + 101297.

It is an arithmetic number, because the mean of its divisors is an integer number (37483446).

Almost surely, 2^1001867868 is an apocalyptic number.

1001867868 is a gapful number since it is divisible by the number (18) 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 1001867868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349404056).

1001867868 is an abundant number, since it is smaller than the sum of its proper divisors (1696940244).

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

1001867868 is a wasteful number, since it uses less digits than its factorization.

1001867868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10611 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1001867868 is about 31652.2964095814. The cubic root of 1001867868 is about 1000.6222354095.

The spelling of 1001867868 in words is "one billion, one million, eight hundred sixty-seven thousand, eight hundred sixty-eight".