85871400 has 96 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 22735360.

The previous prime is 85871389. The next prime is 85871411. The reversal of 85871400 is 417858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85871389) and next prime (85871411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99772 + ... + 100628.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^85871400 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 85871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

85871400 is an abundant number, since it is smaller than the sum of its proper divisors (182236440).

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

85871400 is a wasteful number, since it uses less digits than its factorization.

85871400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 85871400 is about 9266.6822541835. The cubic root of 85871400 is about 441.1803705799.

The spelling of 85871400 in words is "eighty-five million, eight hundred seventy-one thousand, four hundred".