85850688 has 112 divisors (see below), whose sum is σ = 283244544. Its totient is φ = 22295040.

The previous prime is 85850669. The next prime is 85850711. The reversal of 85850688 is 88605858.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11881 + ... + 17687.

Almost surely, 2^85850688 is an apocalyptic number.

85850688 is a gapful number since it is divisible by the number (88) 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 85850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141622272).

85850688 is an abundant number, since it is smaller than the sum of its proper divisors (197393856).

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

85850688 is a wasteful number, since it uses less digits than its factorization.

85850688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The square root of 85850688 is about 9265.5646347106. The cubic root of 85850688 is about 441.1448971371.

The spelling of 85850688 in words is "eighty-five million, eight hundred fifty thousand, six hundred eighty-eight".