861408016 has 80 divisors (see below), whose sum is σ = 2014156800. Its totient is φ = 348637824.

The previous prime is 861408011. The next prime is 861408017. The reversal of 861408016 is 610804168.

It is not an unprimeable number, because it can be changed into a prime (861408011) 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 15 ways as a sum of consecutive naturals, for example, 1197705 + ... + 1198423.

It is an arithmetic number, because the mean of its divisors is an integer number (25176960).

Almost surely, 2^861408016 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 861408016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007078400).

861408016 is an abundant number, since it is smaller than the sum of its proper divisors (1152748784).

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

861408016 is a wasteful number, since it uses less digits than its factorization.

861408016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 861408016 is about 29349.7532527958. The cubic root of 861408016 is about 951.4872424096.

The spelling of 861408016 in words is "eight hundred sixty-one million, four hundred eight thousand, sixteen".