861897456 has 240 divisors, whose sum is σ = 3030758400. Its totient is φ = 233186688.

The previous prime is 861897451. The next prime is 861897473. The reversal of 861897456 is 654798168.

861897456 is a `hidden beast` number, since 8 + 6 + 189 + 7 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861897451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401121 + ... + 403263.

It is an arithmetic number, because the mean of its divisors is an integer number (12628160).

Almost surely, 2^861897456 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 861897456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515379200).

861897456 is an abundant number, since it is smaller than the sum of its proper divisors (2168860944).

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

861897456 is a wasteful number, since it uses less digits than its factorization.

861897456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2174 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 861897456 is about 29358.0901286170. The cubic root of 861897456 is about 951.6674155426.

The spelling of 861897456 in words is "eight hundred sixty-one million, eight hundred ninety-seven thousand, four hundred fifty-six".