85701888 has 90 divisors (see below), whose sum is σ = 255609354. Its totient is φ = 28560384.

The previous prime is 85701877. The next prime is 85701929. The reversal of 85701888 is 88810758.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 79709184 + 5992704 = 8928^2 + 2448^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18670 + ... + 22802.

Almost surely, 2^85701888 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 85701888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127804677).

85701888 is an abundant number, since it is smaller than the sum of its proper divisors (169907466).

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

85701888 is an equidigital number, since it uses as much as digits as its factorization.

85701888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 85701888 is about 9257.5314204166. The cubic root of 85701888 is about 440.8898794877.

The spelling of 85701888 in words is "eighty-five million, seven hundred one thousand, eight hundred eighty-eight".