85465884 has 96 divisors (see below), whose sum is σ = 245661696. Its totient is φ = 22587840.

The previous prime is 85465883. The next prime is 85465901. The reversal of 85465884 is 48856458.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85465883) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59179 + ... + 60605.

It is an arithmetic number, because the mean of its divisors is an integer number (2558976).

Almost surely, 2^85465884 is an apocalyptic number.

85465884 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85465884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122830848).

85465884 is an abundant number, since it is smaller than the sum of its proper divisors (160195812).

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

85465884 is a wasteful number, since it uses less digits than its factorization.

85465884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 85465884 is about 9244.7760383905. The cubic root of 85465884 is about 440.4848031011.

The spelling of 85465884 in words is "eighty-five million, four hundred sixty-five thousand, eight hundred eighty-four".