871897600 has 240 divisors, whose sum is σ = 2545158528. Its totient is φ = 289751040.

The previous prime is 871897597. The next prime is 871897601. The reversal of 871897600 is 6798178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871897601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3315069 + ... + 3315331.

Almost surely, 2^871897600 is an apocalyptic number.

871897600 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 871897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272579264).

871897600 is an abundant number, since it is smaller than the sum of its proper divisors (1673260928).

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

871897600 is a wasteful number, since it uses less digits than its factorization.

871897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 871897600 is about 29527.9122187804. The cubic root of 871897600 is about 955.3338379485. Note that the first 3 decimals are identical.

The spelling of 871897600 in words is "eight hundred seventy-one million, eight hundred ninety-seven thousand, six hundred".