861886168 has 64 divisors (see below), whose sum is σ = 1902942720. Its totient is φ = 360796800.

The previous prime is 861886147. The next prime is 861886231. The reversal of 861886168 is 861688168.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 945633 + ... + 946543.

It is an arithmetic number, because the mean of its divisors is an integer number (29733480).

Almost surely, 2^861886168 is an apocalyptic number.

861886168 is a gapful number since it is divisible by the number (88) 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 861886168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951471360).

861886168 is an abundant number, since it is smaller than the sum of its proper divisors (1041056552).

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

861886168 is a wasteful number, since it uses less digits than its factorization.

861886168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1764 counting only the distinct ones).

The product of its digits is 884736, while the sum is 52.

The square root of 861886168 is about 29357.8978811495. The cubic root of 861886168 is about 951.6632609615.

The spelling of 861886168 in words is "eight hundred sixty-one million, eight hundred eighty-six thousand, one hundred sixty-eight".