861838208 has 64 divisors (see below), whose sum is σ = 2140629120. Its totient is φ = 335777280.

The previous prime is 861838181. The next prime is 861838253. The reversal of 861838208 is 802838168.

861838208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33866 + ... + 53577.

It is an arithmetic number, because the mean of its divisors is an integer number (33447330).

Almost surely, 2^861838208 is an apocalyptic number.

861838208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

861838208 is an abundant number, since it is smaller than the sum of its proper divisors (1278790912).

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

861838208 is a wasteful number, since it uses less digits than its factorization.

861838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87475 (or 87463 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 861838208 is about 29357.0810538105. The cubic root of 861838208 is about 951.6456087400.

The spelling of 861838208 in words is "eight hundred sixty-one million, eight hundred thirty-eight thousand, two hundred eight".