871234560 has 528 divisors, whose sum is σ = 3591846336. Its totient is φ = 191102976.

The previous prime is 871234541. The next prime is 871234579. The reversal of 871234560 is 65432178.

871234560 is a `hidden beast` number, since 8 + 71 + 23 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (871234541) and next prime (871234579).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11934684 + ... + 11934756.

Almost surely, 2^871234560 is an apocalyptic number.

871234560 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 871234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795923168).

871234560 is an abundant number, since it is smaller than the sum of its proper divisors (2720611776).

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

871234560 is a wasteful number, since it uses less digits than its factorization.

871234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 871234560 is about 29516.6827404436. The cubic root of 871234560 is about 955.0916133342.

The spelling of 871234560 in words is "eight hundred seventy-one million, two hundred thirty-four thousand, five hundred sixty".