85851948 has 96 divisors (see below), whose sum is σ = 255144960. Its totient is φ = 21853440.

The previous prime is 85851947. The next prime is 85851971. The reversal of 85851948 is 84915858.

It is a junction number, because it is equal to n+sod(n) for n = 85851897 and 85851906.

It is not an unprimeable number, because it can be changed into a prime (85851947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30313 + ... + 33023.

It is an arithmetic number, because the mean of its divisors is an integer number (2657760).

Almost surely, 2^85851948 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 85851948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127572480).

85851948 is an abundant number, since it is smaller than the sum of its proper divisors (169293012).

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

85851948 is a wasteful number, since it uses less digits than its factorization.

85851948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2765 counting only the distinct ones).

The product of its digits is 460800, while the sum is 48.

The square root of 85851948 is about 9265.6326281587. The cubic root of 85851948 is about 441.1470553021.

The spelling of 85851948 in words is "eighty-five million, eight hundred fifty-one thousand, nine hundred forty-eight".