861338000 has 80 divisors (see below), whose sum is σ = 2091763440. Its totient is φ = 343040000.

The previous prime is 861337987. The next prime is 861338011. The reversal of 861338000 is 833168.

It can be written as a sum of positive squares in 8 ways, for example, as 198584464 + 662753536 = 14092^2 + 25744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537200 + ... + 538800.

It is an arithmetic number, because the mean of its divisors is an integer number (26147043).

Almost surely, 2^861338000 is an apocalyptic number.

861338000 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 861338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045881720).

861338000 is an abundant number, since it is smaller than the sum of its proper divisors (1230425440).

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

861338000 is a wasteful number, since it uses less digits than its factorization.

861338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 861338000 is about 29348.5604416980. The cubic root of 861338000 is about 951.4614624715.

The spelling of 861338000 in words is "eight hundred sixty-one million, three hundred thirty-eight thousand".