85507758 has 64 divisors (see below), whose sum is σ = 221829120. Its totient is φ = 23906016.

The previous prime is 85507753. The next prime is 85507769. The reversal of 85507758 is 85770558.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85507753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15360 + ... + 20172.

It is an arithmetic number, because the mean of its divisors is an integer number (3466080).

Almost surely, 2^85507758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85507758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110914560).

85507758 is an abundant number, since it is smaller than the sum of its proper divisors (136321362).

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

85507758 is a wasteful number, since it uses less digits than its factorization.

85507758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 85507758 is about 9247.0404995328. The cubic root of 85507758 is about 440.5567298483.

The spelling of 85507758 in words is "eighty-five million, five hundred seven thousand, seven hundred fifty-eight".