85752888 has 64 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 26229120.

The previous prime is 85752883. The next prime is 85752889. The reversal of 85752888 is 88825758.

It is a self number, because there is not a number n which added to its sum of digits gives 85752888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85752883) by changing a digit.

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, 58873 + ... + 60311.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^85752888 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 85752888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

85752888 is an abundant number, since it is smaller than the sum of its proper divisors (146490312).

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

85752888 is a wasteful number, since it uses less digits than its factorization.

85752888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 51.

The square root of 85752888 is about 9260.2855247557. The cubic root of 85752888 is about 440.9773179546.

The spelling of 85752888 in words is "eighty-five million, seven hundred fifty-two thousand, eight hundred eighty-eight".