861397248 has 144 divisors (see below), whose sum is σ = 2397334016. Its totient is φ = 274268160.

The previous prime is 861397183. The next prime is 861397261. The reversal of 861397248 is 842793168.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 861397197 and 861397206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2309190 + ... + 2309562.

Almost surely, 2^861397248 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 861397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198667008).

861397248 is an abundant number, since it is smaller than the sum of its proper divisors (1535936768).

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

861397248 is a wasteful number, since it uses less digits than its factorization.

861397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 861397248 is about 29349.5698094538. The cubic root of 861397248 is about 951.4832777157.

The spelling of 861397248 in words is "eight hundred sixty-one million, three hundred ninety-seven thousand, two hundred forty-eight".