861568000 has 176 divisors, whose sum is σ = 2207222784. Its totient is φ = 335462400.

The previous prime is 861567983. The next prime is 861568003. The reversal of 861568000 is 865168.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861568003) by changing a digit.

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, 6783937 + ... + 6784063.

Almost surely, 2^861568000 is an apocalyptic number.

861568000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103611392).

861568000 is an abundant number, since it is smaller than the sum of its proper divisors (1345654784).

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

861568000 is a wasteful number, since it uses less digits than its factorization.

861568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 861568000 is about 29352.4786006225. The cubic root of 861568000 is about 951.5461433831.

The spelling of 861568000 in words is "eight hundred sixty-one million, five hundred sixty-eight thousand".