85751952 has 180 divisors, whose sum is σ = 270397872. Its totient is φ = 23212800.

The previous prime is 85751947. The next prime is 85751989. The reversal of 85751952 is 25915758.

Its product of digits (126000) is a multiple of the sum of its prime divisors (60).

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 35 ways as a sum of consecutive naturals, for example, 2766177 + ... + 2766207.

Almost surely, 2^85751952 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 85751952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135198936).

85751952 is an abundant number, since it is smaller than the sum of its proper divisors (184645920).

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

85751952 is a wasteful number, since it uses less digits than its factorization.

85751952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its digits is 126000, while the sum is 42.

The square root of 85751952 is about 9260.2349862193. The cubic root of 85751952 is about 440.9757135139.

The spelling of 85751952 in words is "eighty-five million, seven hundred fifty-one thousand, nine hundred fifty-two".