861538048 has 72 divisors (see below), whose sum is σ = 2050933248. Its totient is φ = 353160192.

The previous prime is 861538039. The next prime is 861538049. The reversal of 861538048 is 840835168.

It is a junction number, because it is equal to n+sod(n) for n = 861537995 and 861538013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861538049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30765 + ... + 51667.

It is an arithmetic number, because the mean of its divisors is an integer number (28485184).

Almost surely, 2^861538048 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 861538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025466624).

861538048 is an abundant number, since it is smaller than the sum of its proper divisors (1189395200).

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

861538048 is a wasteful number, since it uses less digits than its factorization.

861538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20949 (or 20935 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 861538048 is about 29351.9683837388. The cubic root of 861538048 is about 951.5351165729.

The spelling of 861538048 in words is "eight hundred sixty-one million, five hundred thirty-eight thousand, forty-eight".