861307424 has 48 divisors (see below), whose sum is σ = 1771398720. Its totient is φ = 411720960.

The previous prime is 861307417. The next prime is 861307439. The reversal of 861307424 is 424703168.

It is an unprimeable number.

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, 91079 + ... + 100089.

It is an arithmetic number, because the mean of its divisors is an integer number (36904140).

Almost surely, 2^861307424 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 861307424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885699360).

861307424 is an abundant number, since it is smaller than the sum of its proper divisors (910091296).

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

861307424 is a wasteful number, since it uses less digits than its factorization.

861307424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 861307424 is about 29348.0395256651. The cubic root of 861307424 is about 951.4502039296.

The spelling of 861307424 in words is "eight hundred sixty-one million, three hundred seven thousand, four hundred twenty-four".