85331904 has 112 divisors (see below), whose sum is σ = 260226048. Its totient is φ = 24173568.

The previous prime is 85331903. The next prime is 85331921. The reversal of 85331904 is 40913358.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85331903) 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 15 ways as a sum of consecutive naturals, for example, 232329 + ... + 232695.

Almost surely, 2^85331904 is an apocalyptic number.

85331904 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 85331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130113024).

85331904 is an abundant number, since it is smaller than the sum of its proper divisors (174894144).

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

85331904 is a wasteful number, since it uses less digits than its factorization.

85331904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 85331904 is about 9237.5269417740. The cubic root of 85331904 is about 440.2545084042.

The spelling of 85331904 in words is "eighty-five million, three hundred thirty-one thousand, nine hundred four".