861288000 has 224 divisors, whose sum is σ = 3012691968. Its totient is φ = 216064000.

The previous prime is 861287953. The next prime is 861288013. The reversal of 861288000 is 882168.

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 31 ways as a sum of consecutive naturals, for example, 406945 + ... + 409055.

Almost surely, 2^861288000 is an apocalyptic number.

861288000 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 861288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506345984).

861288000 is an abundant number, since it is smaller than the sum of its proper divisors (2151403968).

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

861288000 is a wasteful number, since it uses less digits than its factorization.

861288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 861288000 is about 29347.7085987986. The cubic root of 861288000 is about 951.4430515830.

The spelling of 861288000 in words is "eight hundred sixty-one million, two hundred eighty-eight thousand".