871090416 has 160 divisors (see below), whose sum is σ = 3008140800. Its totient is φ = 235768320.

The previous prime is 871090379. The next prime is 871090439. The reversal of 871090416 is 614090178.

It is a super-3 number, since 3×871090416³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49876 + ... + 65036.

It is an arithmetic number, because the mean of its divisors is an integer number (18800880).

Almost surely, 2^871090416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871090416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504070400).

871090416 is an abundant number, since it is smaller than the sum of its proper divisors (2137050384).

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

871090416 is a wasteful number, since it uses less digits than its factorization.

871090416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15192 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 871090416 is about 29514.2409016393. The cubic root of 871090416 is about 955.0389377689.

The spelling of 871090416 in words is "eight hundred seventy-one million, ninety thousand, four hundred sixteen".