85749888 has 256 divisors, whose sum is σ = 289843200. Its totient is φ = 21897216.

The previous prime is 85749871. The next prime is 85749913. The reversal of 85749888 is 88894758.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174620 + ... + 1174692.

It is an arithmetic number, because the mean of its divisors is an integer number (1132200).

Almost surely, 2^85749888 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 85749888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144921600).

85749888 is an abundant number, since it is smaller than the sum of its proper divisors (204093312).

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

85749888 is a wasteful number, since it uses less digits than its factorization.

85749888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The square root of 85749888 is about 9260.1235412925. The cubic root of 85749888 is about 440.9721754752.

The spelling of 85749888 in words is "eighty-five million, seven hundred forty-nine thousand, eight hundred eighty-eight".