871361600 has 42 divisors (see below), whose sum is σ = 2144098074. Its totient is φ = 348544000.

The previous prime is 871361597. The next prime is 871361627. The reversal of 871361600 is 6163178.

It can be written as a sum of positive squares in 3 ways, for example, as 10291264 + 861070336 = 3208^2 + 29344^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270701 + ... + 273900.

Almost surely, 2^871361600 is an apocalyptic number.

871361600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871361600 is an abundant number, since it is smaller than the sum of its proper divisors (1272736474).

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

871361600 is a wasteful number, since it uses less digits than its factorization.

871361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544623 (or 544608 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 871361600 is about 29518.8346653454. The cubic root of 871361600 is about 955.1380336466.

The spelling of 871361600 in words is "eight hundred seventy-one million, three hundred sixty-one thousand, six hundred".