871457664 has 128 divisors (see below), whose sum is σ = 2886094080. Its totient is φ = 226344960.

The previous prime is 871457579. The next prime is 871457701. The reversal of 871457664 is 466754178.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14832 + ... + 44304.

It is an arithmetic number, because the mean of its divisors is an integer number (22547610).

Almost surely, 2^871457664 is an apocalyptic number.

871457664 is a gapful number since it is divisible by the number (84) 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 871457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443047040).

871457664 is an abundant number, since it is smaller than the sum of its proper divisors (2014636416).

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

871457664 is a wasteful number, since it uses less digits than its factorization.

871457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29508 (or 29496 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 871457664 is about 29520.4617850060. The cubic root of 871457664 is about 955.1731323582.

The spelling of 871457664 in words is "eight hundred seventy-one million, four hundred fifty-seven thousand, six hundred sixty-four".