85886304 has 48 divisors (see below), whose sum is σ = 257660928. Its totient is φ = 24538752.

The previous prime is 85886303. The next prime is 85886309. The reversal of 85886304 is 40368858.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85886303) 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 7 ways as a sum of consecutive naturals, for example, 63232 + ... + 64575.

It is an arithmetic number, because the mean of its divisors is an integer number (5367936).

Almost surely, 2^85886304 is an apocalyptic number.

85886304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85886304 is an abundant number, since it is smaller than the sum of its proper divisors (171774624).

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

85886304 is a wasteful number, since it uses less digits than its factorization.

85886304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127827 (or 127819 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 85886304 is about 9267.4863906024. The cubic root of 85886304 is about 441.2058931321.

The spelling of 85886304 in words is "eighty-five million, eight hundred eighty-six thousand, three hundred four".