871461600 has 288 divisors, whose sum is σ = 3093552000. Its totient is φ = 212244480.

The previous prime is 871461593. The next prime is 871461631. The reversal of 871461600 is 6164178.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1322071 + ... + 1322729.

It is an arithmetic number, because the mean of its divisors is an integer number (10741500).

Almost surely, 2^871461600 is an apocalyptic number.

871461600 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 871461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546776000).

871461600 is an abundant number, since it is smaller than the sum of its proper divisors (2222090400).

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

871461600 is a wasteful number, since it uses less digits than its factorization.

871461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 871461600 is about 29520.5284505545. The cubic root of 871461600 is about 955.1745703916.

The spelling of 871461600 in words is "eight hundred seventy-one million, four hundred sixty-one thousand, six hundred".